Question

-8x + 5 greater than or equal to -3 please solve this equation

Answer 1

Answer:

The greater than or equal to sign is:

>= or ≥.

Now let's solve for this inequality.

-8x + 5 ≥ -3

First, we need to get rid of any constants.

Get rid of a constant by performing the inverse operation of it, we always apply this to both sides of an inequality.

The inverse operation of addition (since it is a positive 5) is subtractions.

So, we subtract 5 from both sides;

-5         -5

Now we have:

-8x ≥ -8

Now, all we need to do is isolate x from it's co-efficient, 8.

To do that, we also utilize the inverse operation.

The inverse operation of multiplication (since -8 is being multiplied by x) is division, we apply this to both sides of this inequality.

So, we divide by -8 from both sides;

÷ -8 ÷ -8

And we'll end up with:

x ≥ 1, therefore the solution to this inequality is 1.