Question

On a piece of paper, graph y-5>2x-10. Then determine which answer

Answer 1

Answer:

Graph B

Step-by-step explanation:

When graphing inequalities:

• < or > : draw a dashed line
• ≤ or ≥ : draw a solid line
• < or ≤ : shade under the line
• > or ≥ : shade above the line

Given inequality:

$y-5 > 2x-10$

Rearrange the given inequality to make y the subject:

$\implies y-5+5 > 2x-10+5$

$\implies y > 2x-5$

Therefore, we need to draw a dashed line and shade above it.

To draw the line:

Replace the > with = to find two points on the line:

$\implies y=2x-5$

$x=0 \implies y=2(0)-5=-5 \implies (0,-5)$

$x=3 \implies y=2(3)-5=1 \implies (3,1)$

Plot the two found points: (0, -5) and (3, 1)

As the inequality is  y > 2x - 5

• Draw a dashed straight line through the two points.
• Shade above the line.

Answer 2

• y-5>2x-10
• y>2x-10+5
• y>2x-5

Graph attached

Only (3,1) lies