AlgebraHardSolving a compound inequality
Algebra practice question
Which of the following gives all values of x that satisfy −4 ≤ 2x + 6 < 10?
- A. −5 ≤ x < 2Correct
- B. −5 < x ≤ 2
- C. −2 ≤ x < 5
- D. 5 ≤ x < 8
Answer: A. −5 ≤ x < 2
Subtract 6 to get −10 ≤ 2x < 4, then divide by 2.
Why the other answers are wrong
- B. −5 < x ≤ 2
- The strict and non-strict signs are swapped.
- C. −2 ≤ x < 5
- This divides before subtracting 6.
- D. 5 ≤ x < 8
- This adds 6 instead of subtracting.
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