Question

Solve: –3x – 24 ≤ –36 what is x equal to?

Answer 1

x ≥ 4

Explanation:

To solve this inequality, we are going to follow the steps below;

first add 24 to both-side of the inequality

–3x – 24 ≤ –36

-3x - 24 + 24 ≤ -36 + 24

-24 + 24 will give us zero, hence our inequality becomes;

-3x ≤ -12

Divide both-side of the inequality by -3.

You should note that whenever you are dividing both-side of inequality by a negative sign, the inequality sign will change, if it is "≤" it becomes"≥" and if it is "≥" it becomes "≤".

-3x/-3 ≤ -12/-3

x ≥ 4

Answer 2

X <= 4

Explanation:

-3x - 24<= -36

Make -3x the subject, by carrying -24 to the other side

Note: Moving -24 to the other side changes to + 24

-3x <= -36 + 24

-3x <= - 12

Minus cancels minus

3x <= 12

Divide both sides by 3,to get the value of x

3x/3 <= 12/3

x <= 12/3

x <= 4

Therefore, x equals to 4