14) Solve the inequality and graph: x

3 ≤ − 3

a. x≥9
b. x≥ − 9
c. x≤9
d. x≤ − 9

1 answer

The correct answer is:

d. x≤ − 9

To solve the inequality, we need to isolate the variable x.

The given inequality is x/3 ≤ −3.

To isolate x, we can multiply both sides of the inequality by 3:

(x/3) * 3 ≤ (-3) * 3

This simplifies to:

x ≤ -9

Therefore, the solution to the inequality is x≤ -9.

To graph this on a number line, we draw a closed dot on -9 and shade everything to the left of it to represent all the values of x that are less than or equal to -9. The resulting graph is a line with a closed dot on -9 and the shading to the left of it.