Answered

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



Answer :

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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