Question

solve the inequality.
x-5 < -3

Answer 1

can you solve this:
x-5=-3
? :)

Answer 2

Basically get the x variable alone..to do that, add 5 to both sides...making it x<2.

Answer 3

If it needs two solutions, break ti up into two equations...x-5 < -3 and x-5>3. Then solve for x in each.

Answer 4

i got 2
x-5<-3
+5 +5
x<2

Answer 5

but he doesn't have x-5 in absolute value.. that's not necessary ...

Answer 6

thank you mads4566

Answer 7

The problem to solve is:
x-5 ‹ -3

First, let's work on the left hand side of your inequality, the x-5
This means, for instance, to see if it can be simplified at all.
x-5 evaluates to x-5
So, all-in-all, the left hand side of your inequality can be written as: x-5

Now, let's work on the right hand side of your inequality, the -3
Because of the minus sign
3 becomes - 3

The answer is -3

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

So with these (any) simplifications, the inequality we'll set out to solve is:
x-5 ‹ -3

Move the -5 to the right hand side by adding 5 to both sides, like this:
To the left hand side:
-5 + 5 = 0

The answer is x

To the right hand side:
-3 + 5 = 2

The answer is 2


Now, the inequality reads:
x ‹ 2
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.

and this is the final solution to your inequality.