Question

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

( 33 geq 4x - 3 geq 9 )

answer
attempt 1 out of 2

inequality notation:

number line:

-12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12
touch and drag to plot line.

Explanation:

Step1: Add 3 to all parts

$33 + 3 \geq 4x - 3 + 3 \geq 9 + 3$
$36 \geq 4x \geq 12$

Step2: Divide all parts by 4

$\frac{36}{4} \geq \frac{4x}{4} \geq \frac{12}{4}$
$9 \geq x \geq 3$

Step3: Rewrite in standard order

$3 \leq x \leq 9$

Number Line Instructions:

Draw a closed circle at $x=3$ and $x=9$, then shade the segment of the number line between these two points.

Answer:

$3 \leq x \leq 9$