Question

1-Resolva as inequações:
a)4x+12>2x-2
b)3x+6>4x+8
c)5x-x+2《6
d)7x-14<6x+8
e)14x<12+12
f)13x-10x>9

Answer 1

$a)4x + 12 > 2x - 2 \\ 4x - 2x > - 2 - 12 \\ 2x > - 14 \\ x > - \frac{ - 14}{2} \\ x > - 7$
$b)3x + 6 > 4x + 8 \\ 3x - 4x > 8 - 6 \\ - x > 2 \\ x < - 2$
$c)5x - x + 2 \leqslant 6 \\ 4x \leqslant 6 - 2 \\ 4x \leqslant 4 \\ x \leqslant \frac{4}{4} \\ x \leqslant 1$
$d)7x - 14 < 6x + 8 \\ 7x - 6x < 8 + 14 \\ x < 22$
$e)14x < 12 + 12 \\ 14x < 24 \\ x < \frac{24}{14} \\ x < \frac{12}{7}$
$f)13x - 10x > 9 \\ 3x > 9 \\ x > \frac{9}{3} \\ x > 3$

Answer 2

a)

4x + 12 > 2x - 2

4x - 2x > - 2 - 12

2x > - 14

x > - 14 / 2

x > - 7

b)

3x + 6 > 4x 8

3x - 4x > 8 - 6

- x > 2 (-1)

x < - 2

c)

5x - x + 2 ≤ 6

5x - x ≤ 6 - 2

4x ≤ 4

x ≤ 4 / 4

x ≤ 1

d)

7x - 14 < 6x + 8

7x - 6x < 8 + 14

x < 22

e)

14x < 12 + 12

14x < 24

x < 24 / 14

x < 12 / 7

f)

13x - 10x > 9

3x > 9

x > 9 / 3

x > 3