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)

Question

asked Aug 6, 2018 97.3k views

2 Answers

Ttacompu · Answer 1 · 2018-08-10T13:17:35+0000

Answer:

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.