Question

Resolva as seguintes inequações

a) 8x+60 > 120
b) 3x-4 > 5
c)2x+8 < 9
d)5x ≥ 3
e)6x-2 ≤ 7​

Answer 1

Resposta:

a)

$\sf{ 8x+60 > 120}$

$\sf{8x > 120 - 60}$

$\sf{8x > 60}$

$\rightarrow\boxed{\boxed{\sf{x > \frac{15}{2} }}}\checkmark$

b)

$\sf{3x-4 > 5}$

$\sf{3x > 5 + 4}$

$\sf{3 x > 9}$

$\sf{9 \div 3}$

$\rightarrow\boxed{\boxed{\sf{x > 3}}}\checkmark$

c)

$\sf{2x+8 < 9 }$

$\sf{2x < 9 - 8}$

$\sf{2x < 1}$

$\rightarrow\boxed{\boxed{\sf{x < \frac{1}{2} }}}\checkmark$

d)

$\sf{5x ≥ 3}$

$\sf{5x \div 5 \geqslant 3 \div 5}$

$\sf{x \geqslant 3 \div 5}$

$\rightarrow\boxed{\boxed{\sf{x \geqslant \frac{3}{5} }}}\checkmark$

e)

$\sf{6x-2 ≤ 7}$

$\sf{6x \leqslant 7 + 2}$

$\sf{6x \leqslant 9}$

$\rightarrow\boxed{\boxed{\sf{x \leqslant \frac{3}{2} }}}\checkmark$

Explicação passo-a-passo:

(espero ter colaborado)