Question

Which of the following inequalities matches the graph?

a. The correct inequality is not listed.
b. 5x + y greater than or equal to 1
c. 5x + y less than or equal to 1
d. 5x − y greater than or equal to 1

Answer 1

The correct answer is D.

Explanation:

I just completed the test and got it correct. I hope this helps!

Answer 2

the answer is the option D

`5x-y \geq 1`

Explanation:

we have

`A(0,-1), B(1,4)` -----> see the graph

Find the slope m

`m=(4+1)/(1-0)`

`m=5`

The equation of the line in slope-intercept form is equal to

`y=mx+b`

we have

`m=5`

`b=-1` -----> the y-intercept is the point B

the equation is equal to

`y=5x-1`

The solution of the inequality is the shaded area below the solid line

therefore

the equation of the inequality is

`y\leq 5x-1`

rewrite the inequality

`y-5x\leq -1` ------> multiply by
`-1` both sides

`5x-y \geq 1`