Question

solve the inequality and graph the solution on the line provided. -3x + 7 < 4 answer inequality notation: number line:

Explanation:

Step1: Subtract 7 from both sides

$-3x+7 - 7<4 - 7$
$-3x<-3$

Step2: Divide both sides by - 3 and reverse the inequality sign

Since dividing by a negative number reverses the inequality, $\frac{-3x}{-3}>\frac{-3}{-3}$
$x > 1$

Answer:

Inequality Notation: $x>1$
Number Line: Draw a number - line. Mark a open circle at 1 (because $x$ is strictly greater than 1, not equal to 1) and draw an arrow to the right of 1 to represent all the values of $x$ that satisfy the inequality.