Question

Solve the following inequality: 13 – 2x ≥ 7

Answer 1

you have to get x by itself

Answer 2

you would would have to subtract anything on the side of x

Answer 3

pretend your solving an equation that says 13-2x=7

Answer 4

is it 3?

Answer 5

Don't be intimidated by the inequality symbol; the rules of algebra still apply.

One can subtract 13 from both sides to get -2x ≥ -6.
Multiplying by a -1, flips the sign, and yields 2x ≤ 6.
Dividing by a 2 yields x ≤ 3.

The mysterious part of that is the flipping of the sign. However, that can be avoided by first adding the 2x to both sides:
13 ≥ 7 + 2x

Now we subtract the 7:
6 ≥ 2x

And divide by the 2:
3 ≥ x.

Answer 6

yes it is 3 now you just add the sign back and it should be \[x \le3\]