Solve for x using interval notation

Question

You are given that x satisfies the following inequalities simultaneously. Solve for x, expressing your answer using interval notation (may draw number line if you wish)

Answer 1

You don't list any inequalities but you solve inequalities just like any other equation, with one exception: when dividing by a negative coefficient to solve for x, the sign turns around.

For example...

-2x ≤ 6

x ≥ -3

Let's test and use x = 0, which is greater than -3

-2(0) ≤ 6

0 ≤ 6

Hey, that's true.

Ok, solve both and put the solution on a number line. If you end up with, say x < 2 and x < 6, well, duh, 3 doesn't solve both because it is less than 6 but not less than 2, so put a circle on 2 and draw an arrow to the left.

Go.