Question

Which of the following ordered pairs are solutions to the linear inequality y≤5x−4?

(Select all that apply)

Answer 1

Explanation:

All except first 2

Let's verify

#3

• (4,3)

`\\ \rm\Rrightarrow 3<=5(4)-4<=20-4<=16\checkmark`

#4

• (3,-1)

`\\ \rm\Rrightarrow -1<=15-1<=14\checkmark`

#5

• (1,1)

`\\ \rm\Rrightarrow 1<=5-4=1\checkmark`

#6

• (6,0)

`\\ \rm\Rrightarrow 0<=30-4<=26\checkmark`

Answer 2

see below

Explanation:

y≤5x−4

Substitute the points in and see if they are true

(0,4)

4≤5*0−4

4≤−4 Not true not a solution

(1,3)

3≤5*1−4

3≤1 Not true not a solution

(4,3)

3≤5*4−4

4≤16 true solution

(3,-1)

-1≤5*3−4

-1 ≤11 true solution

(1,1)

1≤5*1−4

1≤1 true solution

(6,0)

0≤5*6−4

0≤26 true solution