`y <= (3/4)x - 5` Determine whether (0, 0) satisfies each inequality.

Textbook Question

Chapter 2, 2.6 - Problem 62 - Glencoe Algebra 2 (1st Edition, McGraw-Hill Education).
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indirasam's profile pic

indirasam | eNotes Newbie

Posted on

Another way to think about this problem and problems like it is to break down what the question is actually asking. 

"Satisfies" just means will this math statement (inequality) be true if we replace it with some values?

Here, the values ask us to replace x with 0 and y with 0 (remember, coordinates are always (x,y) in case you run into a problem where they are not the same as with this problem).

Now, the problem:

If we replace the x with 0 and y with 0 we get:

0 `<=(3/4)0-5`  

Then, if we keep going:

0 `<=0-5`   

`0<=-5`

This now reads "0 is less than or equal to 5," which false. If a inequality ends up being false, then it does not satisfy it. 

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kspcr111 | In Training Educator

Posted on

Given

`y <= (3/4)x-5` ; (x,y)= (0,0)

to find whether (0,0) satisfies the inequality or not

sol:

By substituting (0,0) we will get to know whether it  satisfies the inequality.

`y <= (3/4)x-5` ;  (0,0)

=> 0 <= (3/4)(0)-5

=> 0 <= (-5)    : False

So , (0,0) does not satisfies the inequality `y <= (3/4)x-5`

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