Questions and Answers
Choose the number line that correctly represents the inequality $x < -25$.
Choose the number line that correctly represents the inequality $|x| < 5$.
Solve the inequality $x - 15 \leq 8$.
x is less than or equal to 23
What is the expression for $-4x - 9$?
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Solve the inequality $3x - 5 \leq x + 11$.
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What is the expression for $x + 4(x + 1)$?
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Study Notes
Inequalities on a Number Line
- The inequality ( x < -25 ) is represented by option C on a number line.
- The inequality ( |x| > 3 ) does not match any of the provided options.
- The inequality ( |x| < 5 ) is represented by option D on a number line.
Solving Inequalities
- The solution to the inequality ( x - 15 \leq 8 ) is ( x \leq 23 ).
- The inequality ( 3x - 5 \leq x + 11 ) solves to ( x \leq 8 ).
Algebraic Expressions
- The expression ( -4x - 9 ) needs further context for evaluation or application.
- The expression ( x + 4(x + 1) ) can be expanded for simplification.
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Description
Test your understanding of inequalities and number lines with this set of flashcards covering Chapter 4 of Algebra 1. Each card presents an inequality problem requiring you to choose or solve based on the correct representation. Perfect for review before an exam!
