Question

Find a solution of the linear inequality. y ≥ 4x – 5 a. (1, 1) b. (2, 1) c. (3, 4) d. (3, 0)

Answer 1

just a matter of subbing in ur answer choices to see which is correct.

(1,1)...x = 1 and y = 1
1 > = 4(1) - 5
1 > = 4 - 5
1 > = -1 (correct)

so ur answer is (1,1)

Answer 2

`A(1,1)`

Explanation:

we have

`y\geq 4x-5`

we know that

If a ordered pair is a solution of the inequality

then

the ordered pair must be located on the shaded area of the solution of the inequality

Using a graphing tool

Graph the inequality and plot the points

`A(1,1),B(2,1),C(3,4),D(3,0)`

see the attached figure

The point A is located on the shaded area

therefore

the point A is a solution of the inequality