Question

10 (x – 5) + 5 (x – 10) > 100 + 14x

Answer 1

Resolver a inequação

$\sf 10(x - 5) + 5(x - 10) > 100 + 14x$

$\small{\sf 10\cdot x + 10\cdot(-5) + 5\cdot x + 5\cdot(-10) > 100 + 14x}$

$\sf 10x - 50 + 5x - 50 > 100 + 14x$

$\sf 15x - 100 > 100 + 14x$

$\sf 15x - 14x > 100 + 100$

$\sf x > 200$

$\boxed{\sf S = \left\{x \in \mathbb{R} / x > 200\right\}}$