Question

Given x+4<6 or x−1>3:

a. Solve each inequality for x. Then, write the solution to the compound inequality.
b. Write a sentence describing the possible values of x.

Answer 1

a. x<3 and x>4.

b.x∈(-∞,3) and x∈(4,∞).

Explanation:

a.

Given data in the question:

`x+4<6`

We have solve for x.

Solution:-

`x+4<6\\x<6-4\\x<2`

x∈(-∞,2)

Given equation:-

`x-1>3`

We have to solve for x.

Solution:-

`x-1>3\\x>3+1\\x>4`

x∈(4,∞).

b.The values that are possible for inequality 1 are less than 3 to negative infinity and values possible second inequality are greater than 4 to infinity.