Question

midterm review
score: 12.99/100 answered: 3/18
question 4
solve the following inequality. write the answer as an inequality, and graph the solution set.
-1 ≤ -4x + 3 ≤ 11
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
clear all draw:

Explanation:

Step1: Subtract 3 from all parts

$-1 - 3\leq -4x+3 - 3\leq11 - 3$
$-4\leq -4x\leq8$

Step2: Divide all parts by - 4 and reverse inequalities

$\frac{-4}{-4}\geq\frac{-4x}{-4}\geq\frac{8}{-4}$
$1\geq x\geq - 2$

Answer:

$-2\leq x\leq1$

To graph:

• Mark - 2 and 1 on the number line.
• Use closed circles at - 2 and 1 (because the inequality includes equality, $\leq$).
• Draw a line segment connecting the two closed - circles.