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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
-
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.