Question
Solve the inequality
6<u<8
Alternative Form
u∈(6,8)
Evaluate
10>(5×4u)>215
Separate into two inequalities
{10>5×4u5×4u>215
Solve the inequality
More Steps

Evaluate
10>5×4u
Multiply the terms
10>45u
Swap the sides of the inequality
45u<10
Cross multiply
5u<4×10
Simplify the equation
5u<40
Divide both sides
55u<540
Divide the numbers
u<540
Divide the numbers
More Steps

Evaluate
540
Reduce the numbers
18
Calculate
8
u<8
{u<85×4u>215
Solve the inequality
More Steps

Evaluate
5×4u>215
Multiply the terms
45u>215
Multiply both sides of the equation by 4
45u×4>215×4
Multiply the terms
5u>215×4
Divide the terms
5u>30
Divide both sides
55u>530
Divide the numbers
u>530
Divide the numbers
More Steps

Evaluate
530
Reduce the numbers
16
Calculate
6
u>6
{u<8u>6
Solution
6<u<8
Alternative Form
u∈(6,8)
Show Solution
