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AssignmentMultiple Select

Solving Two-Step Inequalities

Question 2 • SRC 2022 M/J Grade 8 Pre-Algebra Q1

Which did you include in your solution? Check all that apply.

Answer
A
The inequality representing the situation is 0.5x + 3 < 10.
B
Use inverse operations and properties of inequality to solve.
C
Find that x < 14.
D
Carl lives 15 miles from home, so he will take a bus.

Explanation

Represent the situation with 0.5x + 3 < 10, then use inverse operations: subtract 3 to get 0.5x < 7 and divide by 0.5 to get x < 14. Since Carl lives 15 miles away, he does not meet the condition, so he will take a bus. All four statements are part of the solution.

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