Question

solve the inequality and graph the solution on the line provided.
-4x + 87 > 115
answer
attempt 1 out of 2
< > ≤ ≥ or
inequality notation:

number line:
-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot line.
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Explanation:

Step1: Subtract 87 from both sides

$-4x+87 - 87>115 - 87$
$-4x>28$

Step2: Divide both sides by -4 and reverse the inequality sign

Since dividing by a negative number in an inequality flips the sign, we have $\frac{-4x}{-4}<\frac{28}{-4}$
$x < - 7$

Answer:

Inequality Notation: $x < - 7$
Number Line: An open - circle at - 7 and a line extending to the left.