Solve multi-step inequalities, including reversing the inequality when appropriate.
Distribute, simplify, and solve an inequality
Problem
Solve the inequality: \(2(x~+~3)~\le~14\).
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What this problem is really about
The outside factor multiplies the entire quantity, so either distribute it to both inside terms or divide both sides by that positive factor first. Continue by undoing the remaining addition. Both operations preserve the inequality direction, and the equality bar means the boundary must be tested as an included value in the original expression.
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