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Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Inequalities
Browse organized narrated video solutions. Each problem page includes the question, course, book, chapter, and related study links.
Video solutions
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Solving a Real-World Linear Inequality | Word Problem
Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Inequalities · Chapter 2-A fundraiser sells candles for $6 each. The club has already raised $45 from donations. They need to raise MORE THAN $150 in total. (a) Write an inequality to represent the situation, where $c$ is the number of candles s…
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Solving a Compound Inequality | AND
Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Inequalities · Chapter 2-Solve the compound inequality and graph the solution on a number line: $$-2 < 3x - 5 \leq 10$$ Write the solution in inequality notation and interval notation. State whether the endpoints are included or excluded.
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Solving a Multi-Step Linear Inequality
Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Inequalities · Chapter 2-Solve the inequality, graph the solution, and write the solution in interval notation. $$3x + 8 \leq 2x - 4$$ Check your solution by substituting a value from the solution set back into the original inequality.
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Solving a One-Step Linear Inequality | Multiply or Divide
Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Inequalities · Chapter 2-Solve the inequality and graph the solution on a number line. $$-4x \geq 20$$ Write the solution in inequality notation and interval notation. Explain what happens to the inequality symbol when you divide by a negative n…
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Solving a One-Step Linear Inequality | Add or Subtract
Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Inequalities · Chapter 2-Solve the inequality and graph the solution on a number line. $$x - 7 > -3$$ Write the solution in inequality notation and interval notation.
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Solving One-Step Linear Inequalities
Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Inequalities · Chapter 2-Solve each inequality and graph the solution on a number line. (a) $4x > 28$ (b) $\dfrac{n}{3} \leq -5$ (c) $12 < 6t$ Explain why the inequality sign keeps the same direction when dividing by a positive number.
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Writing and Graphing Linear Inequalities
Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Inequalities · Chapter 2-A roller coaster requires riders to be at least 48 inches tall. (a) Write an inequality that represents the height $h$ (in inches) a person must be to ride. (b) Graph the inequality on a number line. (c) Is a person who …
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Multi-Step Inequality Word Problem
Algebra · Algebra1 · Big Ideas Math · Ron Larson · - Solving Linear Inequalities · Chapter 2-A club is selling candles for a fundraiser. Each candle sells for $8. The club already has $35 donated. They need to raise at least $200 total to fund their event. Write and solve a multi-step inequality to find the mini…