Home > Algebra > Multi-Step Inequalities

How do you solve the inequality # 4r>3r+7 #?

Answer 1

Ethan Adkins

#r>7#

Given:#" "color(brown)(4r>3r+7)#

Subtract #color(blue)(3r)# from both sides

#color(brown)(4rcolor(blue)(-3r)>3rcolor(blue)(-3r)+7#

#r>0+7#

#r>7#

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

Answer 2

Eva Adamson

To solve the inequality (4r > 3r + 7), you need to isolate the variable (r) on one side of the inequality sign.

First, subtract (3r) from both sides of the inequality:

[4r - 3r > 3r - 3r + 7]

This simplifies to:

[r > 7]

So, the solution to the inequality is (r > 7).

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 solve the inequality # 4r&gt;3r+7 #?

How do you solve the inequality # 4r>3r+7 #?