Răspuns:
11. a) 2(x-1)<-6
=2x-2<-6
=2x<-6+2 => 2x=-4 => x=-4/2 => x=-2.
b)3(x+1)<-18
=3x-3<-18
=3x=-18+3
=
[tex]d) \: \: 2(x + 8) \leqslant - 10 \\ 2x + 16 \leqslant - 10 \\ 2x \leqslant - 10 - 16 \\ 2x \leqslant - 26 \\ \\ x = \frac{ - 26}{2} \\ x = - 13[/tex]
3x<-15
=x
[tex]e) \\ \\ 5(x - 1) < 0 \\ 5x - 5 < 0 \\ 5x < 5 \\ x < \frac{5}{5} \\ x < 1[/tex]
[tex]f) \\ 2(x + 5) + 3 < - 9 \\ 2x + 10 + 3 < - 9 \\ 2x < - 9 - 3 - 10 \\ 2x < - 12 - 10 \\ 2x < - 22 \\ x < \frac{ - 22}{2} \\ x < - 11[/tex]
[tex]g) \\ 3 + 2(x + 2) < 5 \\ 3 + 2x + 4 < 5 \\ 2x < 5 - 4 - 3 \\ 2x < 1 - 3 \\ 2x < - 2 \\ x < \frac{ - 2}{ - 2} \\ x < 1[/tex]
[tex]h) \\ 1 + 4(x - 1) < - 7 \\ 1 + 4x - 4 < - 7 \\ 4x < - 7 + 4 - 1 \\ 4x < - 3 - 1 \\ 4x < - 4 \\ x < \frac{ - 4}{4} \\ x < - 1[/tex]
[tex]i) \\ 5(2 + 3x) < - 5 \\ 10 + 15x < - 5 \\ 15x < - 5 - 10 \\ 15x < - 15 \\ x < \frac{ - 15}{15} \\ x < - 1[/tex]
<-15/3 => x=-5
c)
[tex]4(x + 2) \geqslant 8 \\ 4x + 8 \geqslant - 8 \\ 4x \geqslant - 8 - 8 \\ 4x \geqslant - 16 \\ x \geqslant \frac{ - 16}{4} \\ x \geqslant - 4[/tex]
succes și mult spor!! ♡
