Question

which of the following values are solutions to the inequality $-9 - 4x geq 2$?
i. $-3$ ii. $-6$ iii. $0$
a. none
b. i only
c. ii only
d. iii only
e. i and ii
f. i and iii
g. ii and iii
h. i, ii and iii

Explanation:

Step1: Isolate the variable term

Add 9 to both sides:
$$-9 - 4x + 9 \geq 2 + 9$$
$$-4x \geq 11$$

Step2: Solve for x

Divide by -4 (reverse inequality sign):
$$x \leq -\frac{11}{4}$$
$$x \leq -2.75$$

Step3: Test each value

I. $-3 \leq -2.75$: True
II. $-6 \leq -2.75$: True
III. $0 \leq -2.75$: False

Answer:

E. I and II