5𝑛 − 4 ≤ −9 𝑜𝑟 1 3 𝑥 − 6 < −7

Answer 1

Did you mean to type two variables, n and x?

If you meant the same variable, here is the solution.

First equation:

5x - 4 ≤ -9 add 4 to both sides

5x ≤ -5 divide both sides by 5 (note: you are NOT dividing BY a negative, so don't flip the sign)

x ≤ -1

Second equation:

13x - 6 < 7 add 6 to both sides

13x < 13 divide by 13 to both sides

x < 1

Both together: x ≤ - 1 OR x < 1

This means x is greater than or equal to -1 OR x is less than 1. If you plot this on a number line it includes all numbers. So x can be anything. x is all real numbers, and you'd shade in the entire number line.

Hope this helps!