Question
Solve the inequality
4<g<6
Alternative Form
g∈(4,6)
Evaluate
−2>10−3g>−8
Separate into two inequalities
{−2>10−3g10−3g>−8
Solve the inequality
More Steps

Evaluate
−2>10−3g
Swap the sides of the inequality
10−3g<−2
Move the constant to the right side
−3g<−2−10
Subtract the numbers
−3g<−12
Change the signs on both sides of the inequality and flip the inequality sign
3g>12
Divide both sides
33g>312
Divide the numbers
g>312
Divide the numbers
More Steps

Evaluate
312
Reduce the numbers
14
Calculate
4
g>4
{g>410−3g>−8
Solve the inequality
More Steps

Evaluate
10−3g>−8
Move the constant to the right side
−3g>−8−10
Subtract the numbers
−3g>−18
Change the signs on both sides of the inequality and flip the inequality sign
3g<18
Divide both sides
33g<318
Divide the numbers
g<318
Divide the numbers
More Steps

Evaluate
318
Reduce the numbers
16
Calculate
6
g<6
{g>4g<6
Solution
4<g<6
Alternative Form
g∈(4,6)
Show Solution
