Question

The point (0,0) is a solution to which of these inequalities?

a.y+7< 2x + 6
b.y- 7< 2x - 6
c.y -6< 2x - 7
d.y + 7< 2x -6

Answer 1

the apex answer to it D. y – 7 < 2x – 6

Answer 2

Answer: The correct option is (B)
`y-7<2x-6.`

Step-by-step explanation: We are given to select the inequalities that has the point (0, 0) as a solution.

Option (A):

The given inequality is

`y+7<2x+6.`

At the point (0, 0), we have

`L.H.S.=y+7=0+7=7,\\\\R.H.S.=2x+6=2*0+6=6.`

Since 7 > 6, so the point (0, 0) is not a solution to this inequality.

This option is NOT correct.

Option (B):

The given inequality is

`y-7<2x-6.`

At the point (0, 0), we have

`L.H.S.=y-7=0-7=-7,\\\\R.H.S.=2x-6=2*0-6=-6.`

Since -7 < - 6, so the point (0, 0) is a solution to this inequality.

This option is correct.

Option (C):

The given inequality is

`y-6<2x-7.`

At the point (0, 0), we have

`L.H.S.=y-6=0-6=-6,\\\\R.H.S.=2x-7=2*0-7=-7.`

Since -6 > - 7, so the point (0, 0) is not a solution to this inequality.

This option is NOT correct.

Option (D):

The given inequality is

`y+7<2x-6.`

At the point (0, 0), we have

`L.H.S.=y+7=0+7=7,\\\\R.H.S.=2x-6=2*0-6=-6.`

Since 7 > - 6, so the point (0, 0) is not a solution to this inequality.

This option is NOT correct.

Thus, the point (0, 0) is a solution to the inequality
`y-7<2x-6.`

Option (B) is correct.