Question

a) (−4x + 9). 2 < −5x − 18
b) − 55 + 5x ≥ 7. (x − 13)

Answer 1

Respuesta:

• Problema a:

$(-4x + 9). 2 < -5x- 18\\\\-8x+18<-5x-18\\\\-8x+5x<-18-18\\\\-3x<-36\\\\x<\frac{-36}{-3}\\\\x<12$

Intervalo:

(-∞, 12)

{x∈R/x<12}

• Problema b:

$-55 + 5x\geq 7 (x-13)\\\\-55+5x\geq 7x-91\\\\5x-7x\geq -91+55\\\\-2x\geq -36\\\\x\geq \frac{-36}{-2}\\\\x\geq 18$

Intervalo:

[18, ∞)

{x∈R/x≥18}