Question

A point (x, y) is the solution for the inequality y ≥ 2x + 1.

Which ordered pair has a y value that is less than or equal to 1 and satisfies the inequality shown?


Question 4 options:


(3, 8)



(1, 1)



(2, 3)



(0, 1)

Answer 1

(0,1)

Explanation:

We are given that a point (x,y) is the solution for the inequality

`y\geq 2x+1`

We have to find ordered pair for which y has a value that is less than or equal to and satisfies the inequality shown.

a.(3,8)

Substitute x=3 and y=8

`8\geq 2(3)+1=7`

y has a value that is not less than or equal to 1.

b.(1,1)

Substitute x=1

`y\geq 2(1)+1=3`

But given y=1 which is not greater than or equal to 3.

Therefore,y has a value that is not less than or equal to 1.

c.(2,3)

Substitute x=2

`y\geq 2(2)+1=5`

3 is not greater than or equal to 5.

It is false.

d.(0,1)

Substitute x=0

`y2(0)+1=1`

y has a value which is equal to 1.

Hence, (0,1) is true option.

Answer:(0,1)