Question Solve the inequality $2x + 1 < 5$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the inequality $2x + 1 < 5$ .
2. We need to solve for the variable $x$ .

STEP 2

The goal is to isolate the variable $x$ on one side of the inequality. To do this, we will perform operations that maintain the inequality.

STEP 3

First, we will subtract 1 from both sides of the inequality to move the constant term to the right side.
$2x + 1 - 1 < 5 - 1$

STEP 4

Simplify both sides of the inequality after subtraction.
$2x < 4$

STEP 5

Now, we will divide both sides of the inequality by 2 to solve for $x$ .
$\frac{2x}{2} < \frac{4}{2}$

STEP 6

Simplify both sides of the inequality after division.
$x < 2$
The solution to the inequality $2x + 1 < 5$ is $x < 2$ .

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Question Solve the inequality $2x + 1 < 5$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the inequality $2x + 1 < 5$ .
2. We need to solve for the variable $x$ .

STEP 2

The goal is to isolate the variable $x$ on one side of the inequality. To do this, we will perform operations that maintain the inequality.

STEP 3

First, we will subtract 1 from both sides of the inequality to move the constant term to the right side.
$2x + 1 - 1 < 5 - 1$

STEP 4

Simplify both sides of the inequality after subtraction.
$2x < 4$

STEP 5

Now, we will divide both sides of the inequality by 2 to solve for $x$ .
$\frac{2x}{2} < \frac{4}{2}$

STEP 6

Simplify both sides of the inequality after division.
$x < 2$
The solution to the inequality $2x + 1 < 5$ is $x < 2$ .

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Question Solve the inequality 2x+1<52x + 1 < 52x+1<5.

Studdy Solution

STEP 1

Assumptions1. We are given the inequality 2x+1<52x + 1 < 52x+1<5.2. We need to solve for the variable xxx.

STEP 2

The goal is to isolate the variable xxx on one side of the inequality. To do this, we will perform operations that maintain the inequality.

STEP 3

First, we will subtract 1 from both sides of the inequality to move the constant term to the right side.2x+1−1<5−12x + 1 - 1 < 5 - 12x+1−1<5−1

STEP 4

Simplify both sides of the inequality after subtraction.2x<42x < 42x<4

STEP 5

Now, we will divide both sides of the inequality by 2 to solve for xxx.2x2<42\frac{2x}{2} < \frac{4}{2}22x​<24​

STEP 6

Simplify both sides of the inequality after division.x<2x < 2x<2The solution to the inequality 2x+1<52x + 1 < 52x+1<5 is x<2x < 2x<2.

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Question Solve the inequality $2x + 1 < 5$ .

Assumptions
1. We are given the inequality $2x + 1 < 5$ .
2. We need to solve for the variable $x$ .

The goal is to isolate the variable $x$ on one side of the inequality. To do this, we will perform operations that maintain the inequality.

First, we will subtract 1 from both sides of the inequality to move the constant term to the right side.
$2x + 1 - 1 < 5 - 1$

Simplify both sides of the inequality after subtraction.
$2x < 4$

Now, we will divide both sides of the inequality by 2 to solve for $x$ .
$\frac{2x}{2} < \frac{4}{2}$

Simplify both sides of the inequality after division.
$x < 2$
The solution to the inequality $2x + 1 < 5$ is $x < 2$ .