Question

solve the inequality and graph the solution on the line provided.
37 - 6x > -5
answer
< > ≤ ≥ or
inequality notation:

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

Explanation:

Step1: Subtract 37 from both sides

$37 - 6x-37>-5 - 37$
$-6x>-42$

Step2: Divide both sides by -6 and reverse the inequality sign

Since dividing by a negative number in an inequality reverses the sign, $\frac{-6x}{-6}<\frac{-42}{-6}$
$x < 7$

Answer:

Inequality Notation: $x<7$
Number Line: Plot an open - circle at 7 and draw a line to the left of 7 on the number line.