Question

question 11 1 pts solve the linear inequality. other than ∅, use interval notation to express the solution set and graph the solution set on a number line. 21x - 21 > 3(6x - 2)

Explanation:

Step1: Expand the right - hand side

$21x - 21>18x - 6$

Step2: Subtract 18x from both sides

$21x-18x - 21>18x-18x - 6$
$3x - 21>- 6$

Step3: Add 21 to both sides

$3x-21 + 21>-6 + 21$
$3x>15$

Step4: Divide both sides by 3

$\frac{3x}{3}>\frac{15}{3}$
$x > 5$

Answer:

The solution set in interval notation is $(5,\infty)$. On a number line, we have an open circle at 5 and an arrow pointing to the right.