Home > Algebra > Linear Inequalities in Two Variables

How do you graph #5 - y < 4#?

Answer 1

Nathan Axel

First, you need to move the #5# over to the right side, in order to isolate the variable #y#.

Next, multiply both sides by #-1# and flip the inequality sign.

#y > 1#

Your graph will encompass all points that have a #y# value above #1#.

Graph:

graph{y > 1 [-10, 10, -5, 5]}

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Isaiah Anthony

To graph the inequality 5 - y < 4, we first isolate the variable y:

5 - y < 4 Subtract 5 from both sides:

y < -1 Multiply both sides by -1 (since we're multiplying by a negative number, we reverse the inequality sign): y > 1

The graph represents all values of y greater than 1. We draw an open circle at y = 1 and shade the area to the right of the point on the number line to represent the solution set.

By signing up, you agree to our Terms of Service and Privacy Policy

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 #5 - y &lt; 4#?

How do you graph #5 - y < 4#?