Question

8 less than the product of - 3 and a number is greater than - 26

Answer 1

When the problem says "a number," it's referring to a variable, commonly x. With this knowledge, we can make an equation out of this:

-3x - 8 > -26

If we add 8 to both sides, much like how fractions work, the statement still works:

-3x - 8 + 8 > -26 + 8

-3x > -18

Now, we divide both sides by -3. Because we are dividing by a negative, the sign flips:

x < 6

Therefore, x < 6.

Hope this helps! :)