8

Set 1: Linear Equations (Intermediate)

Explanation

Answer: C

For what value of m does the equation 4x + m = 2(2x + 5) have no solution?

For what value of m is there no solution?

A.

10

B.

8

C.

Any m ≠ 10

✓ Correct
D.

5

Detailed Explanation

Choice C is correct. Simplify: 4 x + m = 4 x + 10. For no solution, we need m ≠ 10 (so the constants don't match while coefficients are equal).

Key Steps:

The correct answer is Any m ≠ 10

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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