Question

27
Which values are solutions to th
compound inequality below? Select all the
correct answers.
-1 ≤3-x < 4
A. -2
B. -1
C. 0
D. 1
E. 2
F. 3
G. 4
H. 5

Answers

  1. Answer:
    • C) 0, D) 1, E) 2, F) 3, G) 4
    ———————————–
    Given inequality:
    • – 1 ≤ 3 – x < 4
    Simplify it as below.
    Add -3 to all sides:
    • – 1 – 3 ≤ – x < 4 – 3
    • -4 ≤ – x < 1
    Multiply all sides by – 1, it flips the inequality signs:
    • 4 ≥ x > – 1
    Show in reverse order:
    • – 1 < x ≤ 4 or
    • x ∈ (- 1, 4]
    Now verify the options.
    Correct choices are C, D, E, F, G.

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