Algebra
Calculus
Trigonometry
Matrix
Question
Solve the inequality
g∈(−∞,−3)∪(211,+∞)
Evaluate
∣4g−5∣>17
Separate the inequality into 2 possible cases
4g−5>174g−5<−17
Solve the inequality for g
More Steps
Evaluate
4g−5>17
Move the constant to the right side
4g>17+5
Add the numbers
4g>22
Divide both sides
44g>422
Divide the numbers
g>422
Cancel out the common factor 2
g>211
g>2114g−5<−17
Solve the inequality for g
More Steps
Evaluate
4g−5<−17
Move the constant to the right side
4g<−17+5
Add the numbers
4g<−12
Divide both sides
44g<4−12
Divide the numbers
g<4−12
Divide the numbers
More Steps
Evaluate
4−12
Reduce the numbers
1−3
Calculate
−3
g<−3
g>211g<−3
Solution
g∈(−∞,−3)∪(211,+∞)
Show Solution
