GIVING BRAINLIEST Graph and solve the inequality y>-|x-5|-1

First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.

For:

x

=

0

y

=

0

+

5

y

=

5

Or

(

0

,

5

)

For:

x

=

−

2

y

=

−

2

+

5

y

=

3

Or

(

−

2

,

3

)

We can now plot the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

The boundary line will be solid because the inequality operator contains an "or equal to" clause.

graph{(x^2+(y-5)^2-0.125)((x+2)^2+(y-3)^2-0.125)(y-x-5)=0 [-20, 20, -10, 10]}

Now, we can shade the left side of the line.

graph{(y-x-5) >= 0 [-20, 20, -10, 10]}