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For a compound inequality joined by and, which numbers form the solution?
AThose that satisfy either part
BThose that satisfy neither part
CThose that satisfy the first part
DThose that satisfy both parts
Answer & Solution
Correct answer: D. Those that satisfy both parts
1. Solve each inequality on its own first.
2. Graph both solutions and look for where the shading overlaps.
3. Only numbers that make both statements true survive that overlap.
4. Numbers satisfying just one part belong to an or problem, not an and problem.
_Source: OpenStax Intermediate Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations", section 2.6 Solve Compound Inequalities_