AlgebraHardTesting values against an inequality with x on both sides
Algebra practice question
For which of the following values of x is 7 − 2x greater than 3x + 22?
- A. −4Correct
- B. −3
- C. −2
- D. 0
Answer: A. −4
Solve 7 − 2x > 3x + 22: subtract 3x and 7 to get −5x > 15, then divide by −5 and flip: x < −3. Only −4 is less than −3. Check: 7 − 2(−4) = 15 and 3(−4) + 22 = 10, and 15 > 10.
Why the other answers are wrong
- B. −3
- At x = −3 both sides equal 13, so 7 − 2x is not greater.
- C. −2
- At x = −2: 11 versus 16, so 7 − 2x is smaller.
- D. 0
- At x = 0: 7 versus 22, so 7 − 2x is smaller.
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