Solve the inequality for x

-28 ≤ 4x - 8

11 answers

To solve the inequality, we will isolate x by undoing the operations performed on it.

-28 ≤ 4x - 8

First, let's add 8 to both sides to get rid of the -8:

-28 + 8 ≤ 4x - 8 + 8

Simplifying:

-20 ≤ 4x

Next, let's divide both sides by 4. Remember to flip the inequality sign when dividing by a negative number:

-20/4 ≥ 4x/4

Simplifying:

-5 ≥ x

Therefore, the solution to the inequality is x ≤ -5.
Simplify your answer as much as possible.
The inequality in simplified form is x ≤ -5.
Simplify your answer as much as possible.
Solve the inequality for x
-3 ≥ -9 + x/2
To solve the inequality, we will isolate x by undoing the operations performed on it.

-3 ≥ -9 + x/2

First, let's add 9 to both sides to get rid of the -9:

-3 + 9 ≥ -9 + x/2 + 9

Simplifying:

6 ≥ x/2

Next, let's multiply both sides by 2. Remember to flip the inequality sign when multiplying by a negative number:

2 * 6 ≥ 2 * (x/2)

Simplifying:

12 ≥ x

Therefore, the solution to the inequality is x ≤ 12.
Simplify your answer as much as possible.
Solve the inequality for x
7 + 4x > -5
To solve the inequality, we will isolate x by undoing the operations performed on it.

7 + 4x > -5

First, let's subtract 7 from both sides to get rid of the 7:

7 + 4x - 7 > -5 - 7

Simplifying:

4x > -12

Next, let's divide both sides by 4. Remember to flip the inequality sign when dividing by a negative number:

4x/4 < -12/4

Simplifying:

x < -3

Therefore, the solution to the inequality is x < -3.
-7 ≤ x/5 -3
Simplify your answer as much as possible.
Solve the inequality for x
To solve the inequality, we will isolate x by undoing the operations performed on it.

-7 ≤ x/5 - 3

First, let's add 3 to both sides to get rid of the -3:

-7 + 3 ≤ x/5 - 3 + 3

Simplifying:

-4 ≤ x/5

Next, let's multiply both sides by 5. Remember to flip the inequality sign when multiplying by a negative number:

5 * -4 ≥ 5 * (x/5)

Simplifying:

-20 ≥ x

Therefore, the solution to the inequality is x ≤ -20.
Solve the inequality for x
Simplify your answer as much as possible.
8 < -2 + 5x
To solve the inequality, we will isolate x by undoing the operations performed on it.

8 < -2 + 5x

First, let's add 2 to both sides to get rid of the -2:

8 + 2 < -2 + 2 + 5x

Simplifying:

10 < 5x

Next, let's divide both sides by 5:

10/5 < 5x/5

Simplifying:

2 < x

Therefore, the solution to the inequality is x > 2.
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