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How do you graph the inequality #y>= x - 1#?

Answer 1

Eli Assouline

I would plot it as a normal linear function and then choose the region above the line (continuous to indicate #>=#):

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Answer 2

Eva Abramson

To graph the inequality ( y \geq x - 1 ), you first need to graph the line ( y = x - 1 ) as if it were an equation. This line has a slope of 1 (since the coefficient of ( x ) is 1) and a ( y )-intercept of -1.

After graphing the line ( y = x - 1 ), you then need to determine which side of the line to shade to represent the inequality ( y \geq x - 1 ). Since the inequality includes "or equal to" (( \geq )), the shaded region should include the line itself.

So, you shade the region above or on the line ( y = x - 1 ). This indicates all the points where ( y ) is greater than or equal to ( x - 1 ).

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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 graph the inequality #y&gt;= x - 1#?

How do you graph the inequality #y>= x - 1#?