16Hit1600
AlgebraHardSolving a compound inequality

Algebra practice question

Which of the following gives all values of x that satisfy −4 ≤ 2x + 6 < 10?

  1. A. −5 ≤ x < 2Correct
  2. B. −5 < x ≤ 2
  3. C. −2 ≤ x < 5
  4. 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.

More Algebra questions

Not affiliated with the College Board. SAT is a trademark of the College Board.