Question

NCMIUM 1 Thlroduction lo Huncuons & Equalions FORME ZU19-ZUZU

TZU
Which ordered pair satisfies the inequality y < 2x + 6? Check all that apply.
A. (-1,8)
B. (-3, -12)
C. (0, 12)
D. (-2, 10)
E. (0,0)

Answer 1

Option B:
`(-3,-12)`

Option E:
`(0,0)`

Step-by-step explanation:

The inequality is
`y<2 x+6`

Now, we shall determine the ordered pairs which satisfy the inequality.

Option A:
`(-1,8)`

Substituting, the coordinate
`(-1,8)` in the inequality
`y<2 x+6`, we get,

`8<2(-1)+6\\8<-2+6\\8<4`

This is not possible.

Hence, the ordered pair
`(-1,8)` does not satisfy the inequality.

Option A is not the correct answer.

Option B:
`(-3,-12)`

Substituting, the coordinate
`(-3,-12)` in the inequality
`y<2 x+6`, we get,

`-12<2(-3)+6\\-12<-6+6\\-12<0`

This is possible.

Hence, the ordered pair
`(-1,8)` satisfy the inequality.

Option B is the correct answer.

Option C:
`(0,12)`

Substituting, the coordinate
`(0,12)` in the inequality
`y<2 x+6`, we get,

`12<2(0)+6\\12<0+6\\12<6`

This is not possible.

Hence, the ordered pair
`(0,12)` does not satisfy the inequality.

Option C is not the correct answer.

Option D:
`(-2,10)`

Substituting, the coordinate
`(-2,10)` in the inequality
`y<2 x+6`, we get,

`10<2(-2)+6\\10<-4+6\\10<2`

This is not possible.

Hence, the ordered pair
`(-2,10)` does not satisfy the inequality.

Option D is not the correct answer.

Option E:
`(0,0)`

Substituting, the coordinate
`(0,0)` in the inequality
`y<2 x+6`, we get,

`0<2(0)+6\\0<0+6\\0<6`

This is possible.

Hence, the ordered pair
`(0,0)` satisfy the inequality.

Option E is the correct answer.