We were asked to solve a compound inequality. Let's start by splitting it into separate inequalities.
Compound Inequality:&& 4< 6b&-2≤ 28
First Inequality:&& 4< 6b&-2
Second Inequality:&& 6b&-2≤ 28
Notice that compound inequalities written in this way are equivalent to compound inequalities that involve the word and.
4< 6b-2 and 6b-2≤ 28Let's solve the inequalities separately.
First Inequality
Inequalities can be solved in the same way as equations, by performing inverse operations on both sides until the variable is isolated. The only difference is that when you divide or multiply by a negative number, you must flip the inequality sign.
