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solve the following inequality. - 4x≥ - 3.6 select the correct choice b…

Question

solve the following inequality. - 4x≥ - 3.6
select the correct choice below and fill in the answer box to complete your choice.
a. the solution set is {x|x≤}.
b. the solution set is {x|x >}.
c. the solution set is {x|x <}.
d. the solution set is {x|x≥}.

Explanation:

Step1: Divide both sides by -4

When dividing an inequality by a negative number, the direction of the inequality sign changes. So we have $x\leq\frac{- 3.6}{-4}$.

Step2: Calculate the right - hand side value

$\frac{-3.6}{-4}=0.9$.

Answer:

A. The solution set is $\{x|x\leq0.9\}$