Question

2.1 questions 12 solve the inequality and graph the solution on the number line. 5x + 65 < 100

Explanation:

Step1: Isolate the term with x

Subtract 65 from both sides of the inequality.
$5x+65 - 65<100 - 65$
$5x<35$

Step2: Solve for x

Divide both sides of the inequality by 5.
$\frac{5x}{5}<\frac{35}{5}$
$x < 7$

To graph on the number - line: Draw an open circle at 7 (because the inequality is strict, i.e., $x$ cannot equal 7) and draw an arrow to the left of 7 to represent all the values of $x$ that satisfy the inequality.

Answer:

$x < 7$; On the number - line, an open circle at 7 and an arrow pointing left.