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Can u help me with this

Can u help me with this-example-1
User Jinu P C
by
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1 Answer

2 votes

Yes, (0,0) is a solution if ≥ means "greater than or equal to". No, if ≥ means "greater than".

Here are two possible answers, depending on the meaning of
$\ge$:

If
$\ge$ means "greater than or equal to"

Yes, (0, 0) is a solution of
\(4x-y\ge5\). To see this, simply substitute (0, 0) into the inequality and evaluate:

4(0) - (0) >= 5

0 >= 5

This is clearly true, so (0, 0) is a solution of the inequality.

If
$\ge$ means "greater than":

No, (0, 0) is not a solution of
\(4x-y > 5\). To see this, simply substitute (0, 0) into the inequality and evaluate:

4(0) - (0) > 5

0 > 5

This is clearly false, so (0, 0) is not a solution of the inequality.

User Isolated Ostrich
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8.1k points