Question

Which ordered pairs make both inequalities true? Check all that apply.

y < 5x + 2

y > x + 1



(–3, 2)

(–1, 3)

(0, 2)

(1, 2)
(2, –1)
(2, 2)

Answer 1

I JUST TOOK THE TEST AND THE ANSWER IS D

Answer 2

None of these ordered pairs make both inequalities true.

Explanation:

The given inequalities are

`y<5x+2`

`y>x+1`

For (-3,2),

`2<5(-3)+2\Rightarrow 2<-13`

The first inequality is not true for (-3,2), therefore option 1 is incorrect.

For (-1,3),

`3<5(-1)+2\Rightarrow 3<-3`

The first inequality is not true for (-1,3), therefore option 2 is incorrect.

For (0,2),

`2<5(0)+2\Rightarrow 2<2`

The first inequality is not true for (0,2), therefore option 3 is incorrect.

For (1,2),

`2<5(1)+2\Rightarrow 2<7`

`2>1+1\Rightarrow 2>2`

The second inequality is not true for (1,2), therefore option 4 is incorrect.

For (2,-1),

`-1<5(2)+2\Rightarrow -1<12`

`-1>2+1\Rightarrow -1>3`

The second inequality is not true for (2,-1), therefore option 5 is incorrect.

For (2,2),

`2<5(2)+2\Rightarrow 2<12`

`2>2+1\Rightarrow 2>3`

The second inequality is not true for (2,2), therefore option 6 is incorrect.