zigzagoon2000 Group Title Which ordered pair is a solution of the inequality? y≥4x - 5 A. (3, 4) B. (2, 1) C. (3, 0) D. (1, 1) A, B, C, or D? Please explain (: one year ago one year ago

1. sauravshakya Group Title

Substitue all the points see in which u get the TRUE relation

2. Yahoo! Group Title

Yup...Do the Substitutions..)

3. mathslover Group Title

Try to put the values in the given inequality. For example : $$y\ge 4x-5$$ $$\text{Put the ordered pair of (x,y) , let it be that of 1st option}$$ In 1st option given, x=3 and y = 4 $$4\ge 4(3)-5$$ $$4\ge 12-5$$ $$4\ge 7$$ what do you think is it true that 4 is greater or equal to 7

4. zigzagoon2000 Group Title

Greater..

5. mathslover Group Title

@zigzagoon2000 : is 4 greater than 7 ?

6. mathslover Group Title

You have 4 stars : $$\star \star \star \star$$ and your friend has 7 stars: $$\star \star \star \star \star \star \star$$ Who has more?

7. mathslover Group Title

8. zigzagoon2000 Group Title

9. miteshchvm Group Title

i guess its D, substitute the values and find them

10. mathslover Group Title

Right. so finally 4 is greater or less then 7 ?

11. zigzagoon2000 Group Title

Less.

12. mathslover Group Title

Good. so can you now substitute values of other options as I did and tell me which is the answer?

13. zigzagoon2000 Group Title

I'm not sure how to do so, I mean I'm not very good at this type of math.. Is it D..?

14. mathslover Group Title

Yes , it is but that is what told by @miteshchvm already, OK, first of all just tell me what will be : $$y\ge 4x-5$$ put y = 1 and x = 2 What do you get?

15. sauravshakya Group Title

Well, I am impressed by the may @mathslover is teaching

16. zigzagoon2000 Group Title

Okay one question first. Um.. like I said, I'm not very good at this type of math and I did guess because I don't know how to do it. But the question is: when I replace x would that be 42 or 4*2 which would be 8..? And @sauravshakya I am too haha. Seems like an official teacher. @mathslover please have patience. (:

17. mathslover Group Title

Thanks @sauravshakya and no, @zigzagoon2000 I am not an official teacher :). OK, now coming to the point. @zigzagoon2000 always remember that whenever you are given : $$4x , 5y , 6a$$ where 4,5,6 are constants and x,y,a are variables then it is : $$4x = 4\times x$$ $$5y = 5\times y$$ $$6a=6\times a$$ Hence when you put x = 2 in 4x then you get : $$4x=4(2) = 4\times 2 = 8$$ Refer writing that as 4(2) rather than 42 ... It avoids confusion.

18. zigzagoon2000 Group Title

I see, thank you very much for the explanation.. One of the many that are needed in my case. So the answer to your original question would be: 1≥8 - 5, which would be 1≥3.

19. mathslover Group Title

Very good. You are correct . Similarly find for other values given in options and then you will arrive to a correct answer. Thanks!

20. zigzagoon2000 Group Title

What does this symbol even mean "≥"? I know what > means but I don't know what it means with the line underneath.

21. mathslover Group Title

$$\ge \implies \text{Greater than or equal to}$$ the line underneath the > represents --> equal to sign