Question

The ordered pair(5,-3) is a solution to which of the following inequalities? a. y≥−2x+8 b. −2y<3x−9 c. y−2x>5 d. 4y+2x≤−1

Answer 1

d. 4y+2x≤−1

Explanation:

Answer 2

Option d.
`4y+2x\leq -1`

Explanation:

we know that

If a ordered pair is a solution of an inequality, then the ordered pair must be satisfy the inequality

Verify each case

case a)
`y\geq2x+8`

we have

`x=5, y=-3`

Substitute the value of x and the value of y in the inequality and then compare the results

`-3\geq2(5)+8`

`-3\geq18` -----> is not true

therefore

the ordered pair is not a solution

case b)
`-2y<3x-9`

we have

`x=5, y=-3`

Substitute the value of x and the value of y in the inequality and then compare the results

`-2(-3)<3(5)-9`

`6<6` -----> is not true

therefore

the ordered pair is not a solution

case c)
`y-2x>5`

we have

`x=5, y=-3`

Substitute the value of x and the value of y in the inequality and then compare the results

`-3-2(5)>5`

`-13>5` -----> is not true

therefore

the ordered pair is not a solution

case d)
`4y+2x\leq -1`

we have

`x=5, y=-3`

Substitute the value of x and the value of y in the inequality and then compare the results

`4(-3)+2(5)\leq -1`

`-2\leq -1` -----> is true

therefore

the ordered pair is a solution