Question

Which ordered pairs make the inequality true?

x + 3y < 9

Choose all answers that are correct.
(Points : 1)
(–2, 3)
(–1, 4)
(1, 3)
(5, 1) This is a more than one choice. 5. What is the simplified form of the expression?

2. 15y – 3(4y + 10)

(Points : 1)
3y – 30
3y + 10
27y – 30
27y + 10

Answer 1

1.

`(-2,3) \\ x=-2 \\ y=3 \\ \Downarrow \\ -2+3 * 3<9 \\ -2+9<9 \\ 7<9 \\ true \\ \\ (-1,4) \\ x=-1 \\ y=4 \\ \Downarrow \\ -1+3 * 4<9 \\ -1+12 < 9 \\ 11<9 \\ not \ true \\ \\ (1,3) \\ x=1 \\ y=3 \\ \Downarrow \\ 1+3 * 3<9 \\ 1+9<9 \\ 10<9 \\ not \ true \\ \\ (5,1) \\ x=5 \\ y=1 \\ \Downarrow \\ 5+3 * 1<9 \\ 5+3 <9 \\ 8<9 \\ true`

The ordered pairs (-2,3) and (5,1) make the inequality true.

2.

`15y-3(4y+10)=15y-3 * 4y-3 * 10= 15y-12y-30= \\ =3y-30`

The simplified form of the expression is 3y-30.