Question

A)6X-2>9?
B)8x-6>9x+12
C)6×-3 (x-2)>20-2x
D)-2 (5x+6)<6(2+X)
E)4 (2X-3)+4 (1+x)<11

Answer 1

a-
$x > \frac{11}{6}$
b-
$x < - 18$
c-
$x > \frac{14}{5}$

d-
$x > - \frac {3}{2}$
e-
$x < \frac{19}{12}$

Answer 2

a)
$6x - 2 > 9 \\ 6x > 9 + 2 \\ 6x > 11 \\ x > \frac{11 }{6}$

b)
$8x - 6 > 9x + 12 \\ 8x - 9x > 12 + 6 \\ - x > 18( - 1) \\ x < - 18$

c)
$6x - 3(x - 2) > 20 - 2x \\ 6x - 3x + 6 > 20 - 2x \\ 6x - 3x + 2x > 20 - 6 \\ 5x > 14 \\ x = \frac{14}{5}$

d)
$- 2(5x + 6) < 6(2 + x) \\ - 10x - 12 < 12 + 6x \\ - 10x - 6x < 12 + 12 \\ - 16x < 24( - 1) \\ 16x > - 24 \\ x = \frac{ - 24}{16}$

e)
$4(2x - 3) + 4(1 + x) < 11 \\ 8x - 12 + 4 + 4x < 11 \\ 8x + 4x < 11 + 12 - 4 \\ 12x < 19 \\ x < \frac{19}{12}$