Kombedhoidn
Answered

Find expert answers and community support for all your questions on IDNLearn.com. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.

Solve each of the inequality (x − 1)(x + 2) < 0 justifying each step by referring to an appropriate property or axiom of real numbers.​

Sagot :

The solution for the inequality (x − 1)(x + 2) < 0 if x-1 < 0  and x+2 > 0 and x ∈ (-2, 1)

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

(x -1)(x + 2) < 0

The product of (x-1) and (x+2) is less than zero it means:

x-1 < 0  and x+2 > 0    or

x-1 > 0  and x+2 < 0  

Solve for first case:

x-1 < 0  and x+2 > 0

x < 1  and  x > -2

x ∈ (-2, 1)

Solve for the second case:

x > 1  and x < -2  

There will be no intersection region, so no solution in this case.

Thus, the solution for the inequality (x − 1)(x + 2) < 0 if x-1 < 0  and x+2 > 0 and x ∈ (-2, 1)

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.