Question

Which part of the graph best represents the solution set to the system of inequalities y sx+1 and y+X5-12

Part A
Part B
Part C
Part D

Answer 1

• y≤x+1--(1)
• y≤-x-1

Now

Equating both

• x+1=-x+1
• 2x=0
• x=0/2
• x=0

Now

• y=0+1=1

The systems include solution as (0,1)

• Y intercept should be at 1

Part D contains it

Check the shading by origin

• y≤x+1
• 0≤0+1

True

• Shading towards origin

And

• y≤-x-1
• 0≤-1

False

• Shading away from origin

Part D is correct