QuestionSolve the compound inequality $x<2$ or $x<5$ and graph $x<2$ . Choose the correct graph from options A, B, C, or D.

Studdy Solution

STEP 1

Assumptions1. We are given two inequalities $x<$ and $x<5$ . . We need to graph these inequalities separately and then find the solution set for the compound inequality.
3. The compound inequality is an "or" inequality, which means the solution set is the union of the solutions of the two inequalities.

STEP 2

First, let's graph the inequality $x<2$ . On a number line, this inequality represents all numbers less than2.To graph this, we draw a number line, mark the point2, and then shade all points to the left of2. We use an open circle at2 to indicate that2 is not included in the solution set.

STEP 3

The graph of the inequality $x<2$ should look like this[Insert Graph A here]

STEP 4

Next, let's graph the inequality $x<$ . On a number line, this inequality represents all numbers less than.To graph this, we draw a number line, mark the point, and then shade all points to the left of. We use an open circle at to indicate that is not included in the solution set.

STEP 5

The graph of the inequality $x<5$ should look like this[Insert Graph B here]

STEP 6

Now, we need to find the solution set for the compound inequality $x<2$ or $x<5$ .Because this is an "or" inequality, the solution set is the union of the solutions of the two inequalities. In other words, any number that is a solution to either inequality is a solution to the compound inequality.

STEP 7

The solution set for the compound inequality $x<2$ or $x<5$ is all numbers less than5.This is because all numbers less than2 are also less than5, so the solution set for $x<2$ is contained within the solution set for $x<5$ . Therefore, the solution set for the compound inequality is the same as the solution set for $x<5$ .

STEP 8

The graph of the solution set for the compound inequality $x<2$ or $x<5$ should look like this[Insert Graph B here]
So, the correct graph for the inequality $x<2$ is Graph A, and the correct graph for the solution set of the compound inequality $x<2$ or $x<5$ is Graph B.

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QuestionSolve the compound inequality $x<2$ or $x<5$ and graph $x<2$ . Choose the correct graph from options A, B, C, or D.

Studdy Solution

STEP 1

STEP 2

First, let's graph the inequality $x<2$ . On a number line, this inequality represents all numbers less than2.To graph this, we draw a number line, mark the point2, and then shade all points to the left of2. We use an open circle at2 to indicate that2 is not included in the solution set.

STEP 3

The graph of the inequality $x<2$ should look like this[Insert Graph A here]

STEP 4

Next, let's graph the inequality $x<$ . On a number line, this inequality represents all numbers less than.To graph this, we draw a number line, mark the point, and then shade all points to the left of. We use an open circle at to indicate that is not included in the solution set.

STEP 5

The graph of the inequality $x<5$ should look like this[Insert Graph B here]

STEP 6

Now, we need to find the solution set for the compound inequality $x<2$ or $x<5$ .Because this is an "or" inequality, the solution set is the union of the solutions of the two inequalities. In other words, any number that is a solution to either inequality is a solution to the compound inequality.

STEP 7

STEP 8

The graph of the solution set for the compound inequality $x<2$ or $x<5$ should look like this[Insert Graph B here]
So, the correct graph for the inequality $x<2$ is Graph A, and the correct graph for the solution set of the compound inequality $x<2$ or $x<5$ is Graph B.

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QuestionSolve the compound inequality x<2x<2x<2 or x<5x<5x<5 and graph x<2x<2x<2. Choose the correct graph from options A, B, C, or D.

Studdy Solution

STEP 1

STEP 2

First, let's graph the inequality x<2x<2x<2. On a number line, this inequality represents all numbers less than2.To graph this, we draw a number line, mark the point2, and then shade all points to the left of2. We use an open circle at2 to indicate that2 is not included in the solution set.

STEP 3

The graph of the inequality x<2x<2x<2 should look like this[Insert Graph A here]

STEP 4

Next, let's graph the inequality x<x<x<. On a number line, this inequality represents all numbers less than.To graph this, we draw a number line, mark the point, and then shade all points to the left of. We use an open circle at to indicate that is not included in the solution set.

STEP 5

The graph of the inequality x<5x<5x<5 should look like this[Insert Graph B here]

STEP 6

STEP 7

STEP 8

The graph of the solution set for the compound inequality x<2x<2x<2 or x<5x<5x<5 should look like this[Insert Graph B here]So, the correct graph for the inequality x<2x<2x<2 is Graph A, and the correct graph for the solution set of the compound inequality x<2x<2x<2 or x<5x<5x<5 is Graph B.

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the compound inequality $x<2$ or $x<5$ and graph $x<2$ . Choose the correct graph from options A, B, C, or D.

First, let's graph the inequality $x<2$ . On a number line, this inequality represents all numbers less than2.To graph this, we draw a number line, mark the point2, and then shade all points to the left of2. We use an open circle at2 to indicate that2 is not included in the solution set.

The graph of the inequality $x<2$ should look like this[Insert Graph A here]

Next, let's graph the inequality $x<$ . On a number line, this inequality represents all numbers less than.To graph this, we draw a number line, mark the point, and then shade all points to the left of. We use an open circle at to indicate that is not included in the solution set.

The graph of the inequality $x<5$ should look like this[Insert Graph B here]

The graph of the solution set for the compound inequality $x<2$ or $x<5$ should look like this[Insert Graph B here]
So, the correct graph for the inequality $x<2$ is Graph A, and the correct graph for the solution set of the compound inequality $x<2$ or $x<5$ is Graph B.