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Big Ideas Math Integrated I, 2016 View details

2. Solving Inequalities Using Addition or Subtraction

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Exercise 28 Page 65

We always need to add the same number to both sides of the inequality.

Explanation: The Addition Property of Inequality was used incorrectly.
Correct Solution: x≥ 1

Practice makes perfect

The inequality was not solved correctly because 10 was added only to one side. According to the Addition Property of Inequality, anything added to one side of an inequality must also be added to the other side.

-10+x ≥ -9

AddIneq

LHS+10 ≥ RHS+10

-10+x + 10 ≥ -9 + 10

AddTerms

Add terms

x ≥ 1

The correct answer is all numbers greater than or equal to 1. Let's graph the correct solution on a number line.