Question

What is the solution set to this inequality, where x is a real number: -4x (less than or equal to ) 36

Answer 1

The answer is negative nine

Explanation:

When it comes to x = ?, divide the ANSWER by the mulitplicand. Example, -4x = 36 can be translated to 36 = -4 TIMES X, which here you have to use your head. Negatives cancel each other and the answer is positive, therefore -4 * -9 = 36.

Answer 2

Since it’s an inequality you will NOT be looking for what X equals.

Starting with -4x<36 (just assume it’s the less than equal to sign)
Divide both sides by -4 (because the 4 is negative you will also flip the sign)
Now you have
X (greater than or equal to) -9
This is your final answer

x (> or =) -9