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How do you graph the inequality # y> -1# and #x>=4#?

Answer 1

Let's start with #y > -1#. This is saying #y# is larger than #-1#. So the range goes from #-1# to infinity, or #(-1, oo)#:

graph{y > -1}

Note that #-1# is not included. That's what the dotted line means.

#x >= 4# tells us that #x# is greater than or equal to #4#

So the domain is from #4# to #oo#, or #[4, oo)#, with a solid line:

graph{x >= 4}

I'm not sure if this is what you are asking, but if you put these two together you get this, where the purple area is the solution:

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Answer 2

Eva Abramson

To graph the inequality ( y > -1 ) and ( x \geq 4 ), follow these steps:

Draw a vertical line at ( x = 4 ) to represent the boundary for ( x \geq 4 ).
Shade the area to the right of the vertical line to show ( x \geq 4 ).
Draw a horizontal line at ( y = -1 ) to represent the boundary for ( y > -1 ).
Shade the area above the horizontal line to show ( y > -1 ).
The shaded region where both conditions are met (to the right of ( x = 4 ) and above ( y = -1 )) represents the solution to the inequality ( y > -1 ) and ( x \geq 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 graph the inequality # y&gt; -1# and #x&gt;=4#?

How do you graph the inequality # y> -1# and #x>=4#?