Question

Which set of numbers is included in the solution set of 5-4x<-7

Answer 1

To solve the inequality 5-4x<-7, subtract 5 from both sides and divide by -4. The solution set is x > 3.

Step-by-step explanation:

To solve the inequality 5-4x<-7, we need to isolate the variable x. We can do this by subtracting 5 from both sides of the inequality:

5-4x<-7 - 5 -4x < -7 - 5 -4x < -12

Then divide both sides by -4:

-4x < -12 x > -12/-4 x > 3

Therefore, the solution set for the inequality is x > 3, which means any number greater than 3 is included in the solution set.

Answer 2

x > 3

Step-by-step explanation:

The inequality to solve is:

5 - 4x < - 7

We will solve this using same method as solving an equation. We will take numbers to one side and variables to another and multiply and divide accordingly.

So,

`5-4x<-7\\5+7<4x\\12<4x\\(12)/(4)<x\\3<x`

That means "x is greater than 3", so we can write:

x > 3