QuestionSolve the inequality: $7 - 2x > 23$ .

Studdy Solution

STEP 1

Assumptions1. The inequality to solve is $7-x >23$

STEP 2

To solve the inequality, we first isolate the term with the variable $x$ . We can do this by subtracting7 from both sides of the inequality.
$7 -2x -7 >23 -7$

STEP 3

implify both sides of the inequality.
$-2x >16$

STEP 4

Now, we need to isolate $x$ . We can do this by dividing both sides of the inequality by -2. Remember, when we divide or multiply an inequality by a negative number, the direction of the inequality sign changes.
$\frac{-2x}{-2} < \frac{16}{-2}$

STEP 5

implify both sides of the inequality.
$x < -8$ So, the solution to the inequality $7-2x >23$ is $x < -8$ .

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QuestionSolve the inequality: $7 - 2x > 23$ .

Studdy Solution

STEP 1

Assumptions1. The inequality to solve is $7-x >23$

STEP 2

To solve the inequality, we first isolate the term with the variable $x$ . We can do this by subtracting7 from both sides of the inequality.
$7 -2x -7 >23 -7$

STEP 3

implify both sides of the inequality.
$-2x >16$

STEP 4

Now, we need to isolate $x$ . We can do this by dividing both sides of the inequality by -2. Remember, when we divide or multiply an inequality by a negative number, the direction of the inequality sign changes.
$\frac{-2x}{-2} < \frac{16}{-2}$

STEP 5

implify both sides of the inequality.
$x < -8$ So, the solution to the inequality $7-2x >23$ is $x < -8$ .

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QuestionSolve the inequality: 7−2x>237 - 2x > 237−2x>23.

Studdy Solution

STEP 1

Assumptions1. The inequality to solve is 7−x>237-x >237−x>23

STEP 2

To solve the inequality, we first isolate the term with the variable xxx. We can do this by subtracting7 from both sides of the inequality.7−2x−7>23−77 -2x -7 >23 -77−2x−7>23−7

STEP 3

implify both sides of the inequality.−2x>16-2x >16−2x>16

STEP 4

Now, we need to isolate xxx. We can do this by dividing both sides of the inequality by -2. Remember, when we divide or multiply an inequality by a negative number, the direction of the inequality sign changes.−2x−2<16−2\frac{-2x}{-2} < \frac{16}{-2}−2−2x​<−216​

STEP 5

implify both sides of the inequality.x<−8x < -8x<−8So, the solution to the inequality 7−2x>237-2x >237−2x>23 is x<−8x < -8x<−8.

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QuestionSolve the inequality: $7 - 2x > 23$ .

Assumptions1. The inequality to solve is $7-x >23$

To solve the inequality, we first isolate the term with the variable $x$ . We can do this by subtracting7 from both sides of the inequality.
$7 -2x -7 >23 -7$

implify both sides of the inequality.
$-2x >16$

Now, we need to isolate $x$ . We can do this by dividing both sides of the inequality by -2. Remember, when we divide or multiply an inequality by a negative number, the direction of the inequality sign changes.
$\frac{-2x}{-2} < \frac{16}{-2}$

implify both sides of the inequality.
$x < -8$ So, the solution to the inequality $7-2x >23$ is $x < -8$ .