Question

What is the graph for 3x+7>22

Answer 1

Look at the picture

Explanation:

`3x+7>22\qquad\text{subtract 7 from both sides}\\\\3x+7-7>22-7\\\\3x>15\qquad\text{divide both sides by 3}\\\\(3x)/(3)>(15)/(3)\\\\\boxed{x>5}`

<,> - open circle

≤, ≥ - closed circle

<, ≤ - draw a line to the left

>, ≥ - draw a line to the right

Answer 2

3x + 7 > 22

3x + 7 - 7 > 22 - 7 ... subtract 7 from both sides

3x > 15

3x/3 > 15/3 ... divide both sides by 3

x > 5

To graph this, draw out a number line. Plot an open circle at 5. Do not fill in this open circle. The shade to the right. The shading represents every number larger than 5. The unfilled open circle means "do not include this endpoint".