Question

which of the following are solutions to the inequality below? select all that apply.
12x + 6 < 131
x = 11
x = 5
x = 4
x = 10
submit

Explanation:

Step1: Solve the inequality for x

Subtract 6 from both sides of the inequality \(12x + 6 < 131\):
\(12x + 6 - 6 < 131 - 6\)
\(12x < 125\)
Then divide both sides by 12:
\(x < \frac{125}{12} \approx 10.4167\)

Step2: Check each value

• For \(x = 11\): \(11>10.4167\), so \(11\) is not a solution.
• For \(x = 5\): \(5 < 10.4167\), so \(5\) is a solution.
• For \(x = 4\): \(4 < 10.4167\), so \(4\) is a solution.
• For \(x = 10\): \(10 < 10.4167\), so \(10\) is a solution.

Answer:

B. \(x = 5\), C. \(x = 4\), D. \(x = 10\) (Note: Here we assume the options are labeled as A: \(x = 11\), B: \(x = 5\), C: \(x = 4\), D: \(x = 10\) for clarity. The correct solutions are \(x = 5\), \(x = 4\), and \(x = 10\) since \(x<\frac{125}{12}\approx10.42\) and \(11\) is greater than this value.)