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What is the graph of the inequality in the coordinate plane x ≥ 3?

Answer 1

Savannah Anderson

See below.

#x>=3#

First consider #x=3#

This is the vertical line through the point (3, 0) and all other values of #y in RR#

Hence, #x>=3# is the area consisting of this vertical line and points #(x,y): x>3 forall y in RR#

This area is shown graphically by the shaded area below extended to #+oo# for #x# and #(-oo, +oo)# for #y#

graph{x>=3 [-4.45, 8.04, -2.97, 3.275]}

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Answer 2

Jace Anderson

The graph of the inequality x ≥ 3 in the coordinate plane is a vertical line passing through the point (3, 0) and extending infinitely to the right. The line is solid because the inequality includes the equal sign (≥), indicating that points on the line itself are included in the solution set.

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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.