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

Answer 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.

Answer 2

Substances which allow transmission of infrared radiation through them are called athermanous substances. - For example, wood, metal, CO2, water vapors, etc.