Solution to inequality?

Question

Is the point (− 5/3 , 5) a solution to the inequality: 3x – 8 ≥ − 2/5𝑦? Show work.

Answer 1

Hi there! To find whether the point (-5/3, 5) is a solution to the inequality, plug in the values into the inequalities and then solve from there, so -5/3 is your x value, so you plug -5/3 in for x, and 5 is your y value, so you plug 5 in for y in the inequality

So when plugging those values in, your inequality should look like this:

3 (-5/3) - 8 ≥ -2/5 (5)

Then solve 3 (-5/3) - 8 which equals -13 and -2/5 (5) which equals -2

So your inequality now looks like this:

-13 ≥ -2

Now is -13 greater than or equal to -2? Umm, I don't think so! Since the inequality is false, the point (-5/3, 5) is not a solution to the inequality