Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 3 - Solving Inequalities - 3-4 Solving Multi-Step Inequalities - Practice and Problem-Solving Exercises: 50

Answer

a) always true b) always true c) never true

Work Step by Step

a) $5s + 7 \geq 7 + 5s$ $5s + 7 (-7) \geq 7 (-7)+ 5s$ $5s \geq 5s$ $5s (-5s) \geq 5s(-5s)$ $0 \geq 0$ (true statement) b) $4t + 6 \gt 4t -3$ $4t + 6 (+3) \gt 4t -3(+3)$ $4t + 9 \gt 4t$ $4t (-4t) + 9 \gt 4t (-4t)$ $9 \gt 0$ (true statement) c) $5(m+2) \lt 5m -4$ $5m + 10 \lt 5m -4$ $5m + 10 (-5m) \lt 5m -4 (-5m)$ $10 \lt -4$ (false statement)
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