Question

solve for ( x ) and graph the solution on the number line below.

( 18 geq 2x + 2 geq -6 )

answer attempt 1 out of 3

inequality notation:

number line:

Explanation:

Step1: Subtract 2 from all parts

$$18 - 2\geq2x+2 - 2\geq - 6 - 2$$
$$16\geq2x\geq - 8$$

Step2: Divide all parts by 2

$$\frac{16}{2}\geq\frac{2x}{2}\geq\frac{-8}{2}$$
$$8\geq x\geq - 4$$

Answer:

Inequality Notation: $-4\leq x\leq8$

To graph on the number line: Place a closed - circle at $x = - 4$ (since the inequality includes equality for $x\geq - 4$) and at $x = 8$ (since the inequality includes equality for $x\leq8$), and then draw a line segment connecting these two closed - circles.