Question

9x + 2 > 47

1. graph the inequality.

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show your work

• required 1

Explanation:

Step1: Isolate the variable term

Subtract 2 from both sides of the inequality $9x + 2>47$.
$9x+2 - 2>47 - 2$
$9x>45$

Step2: Solve for x

Divide both sides of the inequality $9x>45$ by 9.
$\frac{9x}{9}>\frac{45}{9}$
$x > 5$

Step3: Graph the solution

On a number - line, draw an open circle at 5 (because the inequality is strict, $x$ cannot equal 5) and shade the line to the right of 5 to represent all values of $x$ greater than 5.

Answer:

The solution of the inequality is $x>5$. To graph it, draw an open - circle at 5 on the number line and shade the region to the right of 5.