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For the inequality x≤−3

, which number(s) listed makes the inequality true? (Check ALL that apply!)

A. -75/22
B. -2.101101110
C. -3.14
D. -10.1010
E. -sqrt 7

1 answer

To determine which numbers make the inequality \( x \leq -3 \) true, we check each option:

A. \(-\frac{75}{22} \approx -3.409\) (True, since \(-3.409 \leq -3\))

B. \(-2.101101110\) (False, since \(-2.101101110 > -3\))

C. \(-3.14\) (True, since \(-3.14 \leq -3\))

D. \(-10.1010\) (True, since \(-10.1010 \leq -3\))

E. \(-\sqrt{7} \approx -2.64575131106\) (False, since \(-2.64575131106 > -3\))

So, the numbers that make the inequality true are:

  • A: \(-\frac{75}{22}\)
  • C: \(-3.14\)
  • D: \(-10.1010\)

Thus, the correct options are A, C, and D.