Решите неравенства: 1) x-8<=3x+6 2)x+5<=2x-3 3)3(x+2)-2(5-x)<1

Question

Решите неравенства: 1) x-8<=3x+6 2)x+5<=2x-3 3)3(x+2)-2(5-x)<1

Answer 1

1)
x-8≤3x+6
x-3x≤6+8
-2x≤14
x≥-7

2)
x+5≤2x-3
x-2x≤-3-5
-x≤-8
x≥8

3)
3(x+2)-2(5-x)<1<br>3x+6-10+2x<1<br>3x+2x<1-6+10<br>5x<5<br>x<1

Answer 2

1) -2x ≤ 14 ⇔ x ≥ -7;   [-7; +∞)
2) -x ≤ -8 ⇔ x ≥ 8;       [8; +∞)
3) 5x < 5 ⇔ x < 1;       (-∞; 1)