contestada

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.

Respuesta :

Answer:

a. x<3  and x>4.

b.x∈(-∞,3) and x∈(4,∞).

Step-by-step explanation:

a.

Given data in the question:

[tex]x+4<6[/tex]

We have solve for x.

Solution:-

[tex]x+4<6\\x<6-4\\x<2[/tex]

x∈(-∞,2)

Given equation:-

[tex]x-1>3[/tex]

We have to solve for x.

Solution:-

[tex]x-1>3\\x>3+1\\x>4[/tex]

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.