Question

determine which of the following values of x satisfy the inequality below.
$2x - 11 \geq 19$
a) 8
b) 14
c) 20
correct answer
c) 20

Explanation:

Step1: Solve the inequality for x

To solve the inequality \(2x - 11 \geq 19\), first add 11 to both sides:
\(2x - 11 + 11 \geq 19 + 11\)
Simplifying, we get \(2x \geq 30\).

Step2: Divide by 2

Next, divide both sides by 2:
\(\frac{2x}{2} \geq \frac{30}{2}\)
Simplifying, we find \(x \geq 15\).

Step3: Check each option

• For A) \(x = 8\): \(8 < 15\), so it does not satisfy \(x \geq 15\).
• For B) \(x = 14\): \(14 < 15\), so it does not satisfy \(x \geq 15\).
• For C) \(x = 20\): \(20 \geq 15\), so it satisfies the inequality.

Answer:

C) 20