How do you determine whether (0,1) is a solution to #y > 5/3x - 4#?

Answer 1

Eva Abramson

You fill in the values of #xandy# and see if this is correct
#x=0andy=1#

#1>5/3*0-4->1>0-4->1> -4#

This is correct, so #(0,1)# is a solution.

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Answer 2

Eva Abramson

To determine if the point (0,1) is a solution to the inequality y > (5/3)x - 4, substitute the values of x and y into the inequality:

1 > (5/3)(0) - 4

Simplify the expression:

1 > 0 - 4 1 > -4

Since 1 is greater than -4, the inequality is true. Therefore, the point (0,1) is a solution to the inequality y > (5/3)x - 4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you determine whether (0,1) is a solution to #y &gt; 5/3x - 4#?

How do you determine whether (0,1) is a solution to #y > 5/3x - 4#?