Question

Atividade de Matemática:
a)3x+15>-3
b)4x-9<23
c)3x+4>5x
d)8x-7<2x+11
e)3x+4>7x-16​

Answer 1

Explicação passo-a-passo:

a) 3x + 15 > -3

3x > - 18

x > -6

b) 4x - 9 < 23

4x < 32

x < 8

c) 3x + 4 > 5x

4 > 2x

x < 2

d) 8x - 7 < 2x + 11

6x < 18

x < 3

e) 3x + 4 > 7x - 16

20 > 4x

x < 5

f) 5x + 13 ≥ - 18

5x ≥ - 31

x ≥ - 31/5

Answer 2

Explicação passo-a-passo:

$5x + 12 \geqslant - 18 \\ \\ 5x \geqslant - 18 - 12 \\ \\ 5x \geqslant - 30 \\ \\ x \geqslant - \dfrac{30}{5} \\ \\ \LARGE \boxed{ \bf \green{x \geqslant - 6}}$

a)

$3x + 15 > - 3 \\ \\ 3x > - 3 - 15 \\ \\ 3x > - 18 \\ \\ x > - \frac{18}{3} \\ \\ \LARGE \boxed{ \bf \green{ x > - 6}}$

b)

$4x - 9 < 23 \\ \\ 4x < 23 + 9 \\ \\ 4x < 32 \\ \\ x < \dfrac{32}{4} \\ \\ \LARGE \boxed{ \bf \green{x < 8}}$

c)

$3x + 4 > 5x \\ \\ 4 > 5x - 3x \\ \\ 4 > 2x \\ \\ 2x < 4 \\ \\ x < \dfrac{4}{2} \\ \\ \LARGE \boxed{ \bf \green{x < 2}}$

d)

$8x - 7 < 2x + 11 \\ \\ 8x - 2x < 11 + 7 \\ \\ 6x < 18 \\ \\ x < \dfrac{18}{6} \\ \\ \LARGE \boxed{ \bf \green{x < 3}}$

e)

$3x + 4 > 7x - 16 \\ \\ 4 + 16 > 7x - 3x \\ \\ 20 > 4x \\ \\ 4x < 20 \\ \\ x < \dfrac{20}{4} \\ \\ \LARGE \boxed{ \bf \green{ x < 5}} \\ \\ \LARGE \boxed{\bf \blue{ \underline{Bons \: Estudos!}}}$