Question

an inequality is shown.
7x - 3 > 2(2x + 3) + x
solve the inequality and graph the solution on the number line.

Explanation:

Step1: Expand the right - hand side

$7x - 3>4x + 6+x$

Step2: Combine like terms on the right - hand side

$7x - 3>5x + 6$

Step3: Subtract 5x from both sides

$7x-5x - 3>5x-5x + 6$
$2x - 3>6$

Step4: Add 3 to both sides

$2x-3 + 3>6 + 3$
$2x>9$

Step5: Divide both sides by 2

$x>\frac{9}{2}=4.5$

To graph on the number line, draw an open circle at 4.5 (because the inequality is strict, $x$ is greater than but not equal to 4.5) and draw an arrow to the right.

Answer:

$x > 4.5$; On the number line, an open circle at 4.5 and an arrow pointing to the right.