Question

What is the solution to the inequality?

5(x−2)<−3x+6

Answer 1

Distribute: 5(x-2).

Your result?

Answer 2

2,10

Answer 3

You need to mult. x by 5 and also to mult that -2 by 5. Your answer must contain that '-' sign. Try again. 5(x-2)=?

Answer 4

5x-10

Answer 5

That's what it is when you distribute. What do you think you do next?

Answer 6

do i simplify

Answer 7

wait never mind

Answer 8

so is that my equation

Answer 9

3 becomes - 3

The answer is -3

-3+6 evaluates to 3

The right hand side of your inequality can be written as: 3

5x-10 ‹ 3

Move the -10 to the right hand side by adding 10 to both sides, like this:
To the left hand side:
-10 + 10 = 0

The answer is 5x

To the right hand side:
3 + 10 = 13

The answer is 13


Now, the inequality reads:
5x ‹ 13
To isolate the x, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)
around the x on the left side of the inequality.

he last step is to divide both sides of the inequality by 5 like this:
To divide x by 1


The x just gets copied along in the numerator.

The answer is x

5x ÷ 5 = x


13 ÷ 5 =

The solution to your inequality is:
x ‹

So, your solution is: 13/5
x must be less than

Answer 10

ok i get it now so it would be 13/5

Answer 11

thank you @Angel.Candy