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Sagot :
1.
[tex](-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[/tex]
The ordered pairs (-2,3) and (5,1) make the inequality true.
2.
[tex]15y-3(4y+10)=15y-3 \times 4y-3 \times 10= 15y-12y-30= \\ =3y-30[/tex]
The simplified form of the expression is 3y-30.
[tex](-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[/tex]
The ordered pairs (-2,3) and (5,1) make the inequality true.
2.
[tex]15y-3(4y+10)=15y-3 \times 4y-3 \times 10= 15y-12y-30= \\ =3y-30[/tex]
The simplified form of the expression is 3y-30.
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