solve the compound inequality 6b < 42 or 4b + 12 > 8
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the inequality:
6b < 42
4b + 12 > 8
Solve the inequality.
Solution:
We can solve the given inequality separately.
For the first inequality, we divide 6 on both sides of the equation, this cancels out 6b leaving behind b.
6b < 42
6b/6 < 42/6
b < 7
For the second inequality, we transpose 12 to the other side of the equation, and divide both sides by 4. note that in transposing a number, the sign changes.
4b + 12 > 18
4b > 18 - 12
4b > 6
4b/4 > 6/4
b > 3/2
Final answer:
b < 7
b > 3/2