# Inequality Question

#### ephesus32

10+ Year Member
7+ Year Member
Can somebody explain this inequality problem: (algebraically)

What are all the values of x for which (x-2)(x+5) < 0?

a) 2< x < 5
b) -2 < x < 5
c) -5 < x < 2
d) x < -5
e) x > 2

#### Sublimation

10+ Year Member
5+ Year Member
Can somebody explain this inequality problem: (algebraically)

What are all the values of x for which (x-2)(x+5) < 0?

a) 2< x < 5
b) -2 < x < 5
c) -5 < x < 2
d) x < -5
e) x > 2

Treat it like a Quadratic form. its like this (x-2)<0 and (X+5)>0 Now solve for X in both. and oyu will end up with C.

#### ephesus32

10+ Year Member
7+ Year Member
Treat it like a Quadratic form. its like this (x-2)<0 and (X+5)>0 Now solve for X in both. and oyu will end up with C.
Yeah, I saw that but why do you switch the inequality sign for (x+5)>0 ??

#### FutureInternist

10+ Year Member
Can somebody explain this inequality problem: (algebraically)

What are all the values of x for which (x-2)(x+5) < 0?

a) 2< x < 5
b) -2 < x < 5
c) -5 < x < 2
d) x < -5
e) x > 2