Question

Which ordered pair is a solution for this system of inequalities? 2x+3y>1 and y<5/4x-1

a. (3,9)
b. (-4,2)
c. (8,-1)
d. (-2,-5)

Answer 1

@jim_thompson5910

Answer 2

Lets check (3,9) on the first inequality

2x+3y>1

2*3+3*9>1 ... plug in x = 3 and y = 9

6+27>1

33 > 1 ... which is true

So (3,9) works for 2x+3y>1

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Now let's do the same for the second inequality

y<5/4x-1

9<(5/4)*(3)-1

9 < 15/4 - 1

9 < 3.75 - 1

9 < 2.75 ... which is false

So (3,9) doesn't work for y<5/4x-1

Therefore, (3,9) is NOT a solution

Answer 3

You repeat this procedure for each answer choice

Answer 4

@cwrw238 : help lol

Answer 5

*lol

Answer 6

does that explanation above make sense?

Answer 7

no lol

Answer 8

hmm where does it start to lose you?

Answer 9

everywhere. i have dyslexia

Answer 10

Then try going over it again and see if it helps a bit


The basic idea here is that I'm replacing x and y with 3 and 9. Then I'm evaluating and simplifying as much as possible. At the end, I'm looking to see if the inequality is true or not. If one inequality is false, then the ordered pair is not a solution.