which graph shows the solution set for -4.4≥1.6x - 3.6?
which graph shows the solution set for -4.4≥1.6x - 3.6?
Answer
Explanation:
Step1: Add 3.6 to both sides
$-4.4 + 3.6\geq1.6x-3.6 + 3.6$ $-0.8\geq1.6x$
Step2: Divide both sides by 1.6
$\frac{-0.8}{1.6}\geq\frac{1.6x}{1.6}$ $-0.5\geq x$ or $x\leq - 0.5$
On a number - line, this is represented by a closed circle at - 0.5 (because the inequality is $\leq$) and an arrow pointing to the left. Among the given options, the number - line with a closed circle at - 0.5 (or a value close to - 0.5 among the given choices) and an arrow pointing to the left is the correct one. If we assume the first option has a closed circle at - 1 and an arrow to the left, the second option has a closed circle at 0 and an arrow to the right, the third option has a closed circle at - 5 and an arrow to the left, and the fourth option has a closed circle at - 5 and an arrow to the right. The correct graph is the one with a closed circle at a value representing $x = - 0.5$ (the closest value among the options is - 1 in the first option which is in the correct direction of the solution set) and an arrow pointing to the left.