Answered

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?

  1. 15y – 3(4y + 10)

(Points : 1)

3y – 30

3y + 10

27y – 30

27y + 10

Verified Answer :

naǫ

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

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

2.
\(15y-3(4y+10)=15y-3 \times 4y-3 \times 10= 15y-12y-30= \\ =3y-30\)

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

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