Question

10) Rezolvati in z urmatoarele inecuatii:
a) 4(x-5)<16;
b) 5(x+7)>10;
c) 3(x-4)≤12;
d) 5(1-2x)≥15;
e)9(3-5x)<-18;
f) 6(2-3x)≤-6x.
11) Rezolvati urmatoarele inecuatii,unde x∈Z:
a)5(x-8)>-3x;
b)3(4-x)≤-7x;
c)8(x-7)≥-6x;
d)4(2x-5)<-2x;
e)8(15-2x)>4x;
f)9(7-3x)≤-6x.
VA ROG MULT REPEDE
MULTUMESC

Answer 1

Răspuns:

Explicație pas cu pas:

$10.\\a)4\left(x-5\right)<\:16\\x-5<4\\x<9\\b) \:5\left(x+7\right)>\:10\\x+7>2\\x>-5\\c) \:3\left(x-4\right)\le 12\\x-4\le \:4\\x\le \:8\\d) \:5\left(1-2x\right)\ge 15\\1-2x\ge \:3\\-2x\ge \:2 => x\le \:-1\\e)9\left(3-5x\right)<\:-18\\3-5x<-2\\-5x<-5\\ => x>1\\f)6\left(2-3x\right)\le -6x\\2 - 3x \le -x\\-2x\le \:-2 => 2x\ge \:2 => x\ge \:1\\\\11.\\a) 5\left(x-8\right)>\:-3x\\5x-40>-3x => 8x>40 => x >5\\b)3\left(4-x\right)\le -7x\\12-3x\le \:-7x => 4x\le \:-12 => x\le \:-3$

$c) 8\left(x-7\right)\ge -6x\\8x-56\ge \:-6x => 14x\ge \:56 => x\ge \:4\\d) 4\left(2x-5\right)<\:-2x\\8x-20<-2x => 10x<20 => x < 2\\e) 8\left(15-2x\right)>\:4x\\120-16x>4x => -20x>-120 => 20x<120 => x < 6\\f) 9\left(7-3x\right)\le -6x\\63-27x\le \:-6x => -21x\le \:-63 => 21x\ge \:63 =>x\ge \:3$