Solve the inequality 2x2 + 10x < –8

-4<x<-1

Step-by-step explanation:

To solve the problem, we divide the whole expression by 2:

2x^2 + 10x < –8 → x^2 + 5x < –4

→  x^2 + 5x + 4 < 0

Factorizing

→ (x+4)(x+1) < 0

The expression is ONLY negative when:

x>-4 and x<-1

Therefore, the solution is:

-4<x<-1

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are