QuestionIf $x<6$ , show an appropriate inequality for $x-3$ . What is $x-3$ less than?

Studdy Solution

STEP 1

Assumptions1. The variable $x$ is less than6. We need to find an appropriate inequality to fill in the blank

STEP 2

We start with the given inequality $x<6$ .

STEP 3

We need to find an inequality that matches the form $x-3<3$ .

STEP 4

To do this, we can subtract3 from both sides of the given inequality $x<6$ to get a new inequality.
$x -3 <6 -3$

STEP 5

implify the right side of the inequality.
$x -3 <3$

STEP 6

So, the inequality that fills in the blank is $x -3 <3$ .
The filled blank is(a) If $x<6$ , then $x-3<3$ .

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QuestionIf $x<6$ , show an appropriate inequality for $x-3$ . What is $x-3$ less than?

Studdy Solution

STEP 1

Assumptions1. The variable $x$ is less than6. We need to find an appropriate inequality to fill in the blank

STEP 2

We start with the given inequality $x<6$ .

STEP 3

We need to find an inequality that matches the form $x-3<3$ .

STEP 4

To do this, we can subtract3 from both sides of the given inequality $x<6$ to get a new inequality.
$x -3 <6 -3$

STEP 5

implify the right side of the inequality.
$x -3 <3$

STEP 6

So, the inequality that fills in the blank is $x -3 <3$ .
The filled blank is(a) If $x<6$ , then $x-3<3$ .

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QuestionIf x<6x<6x<6, show an appropriate inequality for x−3x-3x−3. What is x−3x-3x−3 less than?

Studdy Solution

STEP 1

Assumptions1. The variable xxx is less than6. We need to find an appropriate inequality to fill in the blank

STEP 2

We start with the given inequality x<6x<6x<6.

STEP 3

We need to find an inequality that matches the form x−3<3x-3<3x−3<3.

STEP 4

To do this, we can subtract3 from both sides of the given inequality x<6x<6x<6 to get a new inequality.x−3<6−3x -3 <6 -3x−3<6−3

STEP 5

implify the right side of the inequality.x−3<3x -3 <3x−3<3

STEP 6

So, the inequality that fills in the blank is x−3<3x -3 <3x−3<3.The filled blank is(a) If x<6x<6x<6, then x−3<3x-3<3x−3<3.

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QuestionIf $x<6$ , show an appropriate inequality for $x-3$ . What is $x-3$ less than?

Assumptions1. The variable $x$ is less than6. We need to find an appropriate inequality to fill in the blank

We start with the given inequality $x<6$ .

We need to find an inequality that matches the form $x-3<3$ .

To do this, we can subtract3 from both sides of the given inequality $x<6$ to get a new inequality.
$x -3 <6 -3$

implify the right side of the inequality.
$x -3 <3$

So, the inequality that fills in the blank is $x -3 <3$ .
The filled blank is(a) If $x<6$ , then $x-3<3$ .