Expand menu menu_open Minimize Start chapters Home History history History expand_more
{{ item.displayTitle }}
navigate_next
No history yet!
Progress & Statistics equalizer Progress expand_more
Student
navigate_next
Teacher
navigate_next
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
arrow_forward
No results
{{ searchError }}
search
menu_open
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Solving Compound Inequalities

Solving Compound Inequalities 1.3 - Solution

arrow_back Return to Solving Compound Inequalities
a

Let's collect the xx-terms on one side of the inequality with inverse operations.

3x2x13-x\leq 2x-1
33x13\leq 3x-1
43x4\leq 3x
3x43x\geq 4
x43x\geq \dfrac{4}{3}

x43x\geq\frac{4}{3} solves the inequality. That is all xx-values greater than or equal to 43.\frac{4}{3}.

b

We solve this inequality similarly by collecting the yy-terms on one side and the constants on the other.

8y+6>6y+28y+6\gt 6y+2
2y+6>22y+6\gt2
2y>-42y\gt\text{-}4
y>-2y\gt\text{-}2

The solution to the inequality is y>-2,y\gt\text{-}2, meaning all yy-values greater than -2.\text{-}2.