For what value of x is the rational expression below undefined?
2x + 4
x -7

c. 7
od. 2

The value of x is 7 ⇒ answer c

Step-by-step explanation:

* Lets explain how to solve the problem

- The rational expression has a numerator and a denominator

- Ex: f(x)/g(x) is a rational expression where f(x) is the numerator and

  g(x) is the denominator

- The fraction is undefined if its denominator is 0

- If g(x) = 0 then the rational expression f(x)/g(x) is undefined

* Lets solve the problem

∵ The rational expression is

∴ The numerator is 2x + 4

∴ The denominator is x - 7

- Put the denominator equal zero to find the value of x which makes

 the denominator equal zero

∴ x - 7 = 0 ⇒ add 7 to both sides

∴ x = 7

* The value of x is 7

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

ok

step-by-step explanation: