Question

Решите неравенства: 1) 3х+7> 13 2)5x-15> 0 3)16-4x< 0 4)6(x+1)> 5x+3 5)x-3//2> x+1//4 6)2x+1//5> x-4//3

Answer 1

1) 3x+7>13
3x>13-7
3x>6
x>2

2) 5x-15>0
5x>15
x>3

3) 16-4x<0
-4x<-16 |*(-1)
4x>16
x>4

4) 6(x+1)>5x+3
6x+6>5x+3
6x-5x>3-6
x>-3

5) $x- \frac{3}{2} \ \textgreater \ x + \frac{1}{4}$
$x-x\ \textgreater \ \frac{1}{4} + \frac{3}{2}$
x-любое

6) $2x+ \frac{1}{5} \ \textgreater \ x - \frac{4}{3}$
$2x-x\ \textgreater \ -\frac{4}{3} - \frac{1}{5}$
$x\ \textgreater \ - \frac{23}{15}$
$x\ \textgreater \ 1 \frac{8}{15}$