Question

which of the following are solutions to the inequality below? select all that apply.
$11a - 2 < 27$
$a = 12$
$a = 2$
$a = 4$
$a = 5$
submit

Explanation:

Step1: Isolate the variable term

Add 2 to both sides of the inequality.
$$11a - 2 + 2 < 27 + 2$$
$$11a < 29$$

Step2: Solve for $a$

Divide both sides by 11.
$$a < \frac{29}{11} \approx 2.636$$

Step3: Test each value

• For $a=12$: $11(12)-2=130$, $130<27$ is false.
• For $a=2$: $11(2)-2=20$, $20<27$ is true.
• For $a=4$: $11(4)-2=42$, $42<27$ is false.
• For $a=5$: $11(5)-2=53$, $53<27$ is false.

Answer:

a = 2