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What is the solution set for #-10 ≤ 3x - 5 ≤ -4#?

Answer 1

Eva Adamson

Solve: # -10<= 3x - 5 <= -4#

#-10 + 5 <= 3x <= - 4 + 5#

#-5 <= 3x <= 1#

#-5/3 <= x <= 1/3#

--------------|-5/3=========|0===|1/3------------------

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Answer 2

Jace Anderson

The solution set for the inequality -10 ≤ 3x - 5 ≤ -4 is: [ -5 \leq 3x \leq 1 ] [ -\frac{5}{3} \leq x \leq \frac{1}{3} ]

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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