Solve for x. −4x + 60 < 72 OR 14x + 11 < −31

Choose 1

A) x < -3 or x > -3

B) x > -3

C) x <- 3

D) There are no solutions

E) All values of x are solutions

A. x < -3 or x > -3

Step-by-step explanation:

Let's start with the equation -4x + 60 < 72.

-4x + 60 < 72

First using the order of operations, subtract 60 from both sides.

-4x + 60 - 60 < 72 - 60

- 4x < 12

Next we want to divide -4 from both sides to isolate the variable.

-4x/-4 < 12/-4

x > -3

When you divide a negative number, always make sure the change the sign.

Solve the next equation, 14x + 11 < -31, the same way we solved the last.

14x + 11 < -31

Subtract 11 from both sides.

14x + 11 - 11 < -31 -11

14x < -42

Divide 14 from both sides.

14x/14 < -42/14

x < -3

The equations have different signs.

A. x < -3 or x > -3

You are correct in saying that it is false to say that all isosceles triangles are congruent. They are indeed similar because the two remaining angles measure 45 degrees making all the isosceles right triangles equiangular. The sides should have the same ratio of the corresponding for them to be considered similar.