Question

question 8 short answer solve the inequality: 4x - 8 < 0. then, graph the solution on a number line. write your short answer response...

Explanation:

Step1: Isolate the term with $x$

Add 8 to both sides.
$4x - 8 + 8 < 0 + 8$
$4x < 8$

Step2: Solve for $x$

Divide both sides by 4.
$\frac{4x}{4} < \frac{8}{4}$
$x < 2$

Step3: Describe the number line graph

Draw a number line. Place an open circle at $2$ (since $x$ cannot equal 2), then shade all points to the left of 2 to represent all values less than 2.

Answer:

The solution to the inequality is $x < 2$.
For the number line graph:

• Draw a horizontal number line with labeled tick marks, including 2.
• Mark an open circle at the position of 2.
• Shade the entire portion of the number line to the left of the open circle.