Practice Objectives
- Demonstrate the ability to solve a compound inequality with "and"
- Demonstrate the ability to solve a compound inequality with "or"
Practice Solving Compound Inequalities with "and"/"or"
Instructions:
Answer 7/10 questions correctly to pass.
Solve each compound inequality.
Problem:
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Solving a Linear Inequality:
- Simplify each side separately:
- Clear any parentheses, fractions, or decimals
- Combine any like terms
- Isolate the variable terms on the left side:
- Move all variable terms (terms containing a variable) to the left side
- Move all constant terms (terms without a variable) to the right side
- Isolate the variable on the left side:
- We can isolate the variable by dividing both sides by the coefficient of the variable
- If we multiply or divide both sides of an inequality by a negative number, we must flip the direction of the inequality symbol
- We will achieve one of these four forms:
- x < k
- x ≤ k
- x > k
- x ≥ k
- We can isolate the variable by dividing both sides by the coefficient of the variable
Solving a Compound Inequality:
- Solve each inequality separately
- If the compound inequality is joined with "and":
- Find all numbers that satisfy both inequalities
- If the compound inequality is joined with "or":
- Find all numbers that satisfy either inequality
Step-by-Step:
You Have Missed 4 Questions...
Invalid Character!
$$x < a$$
$$x$$
$$a < x < b$$
$$x$$
$$x < a \: \text{or} \: x > b$$
$$x$$
$$\text{or}$$
$$x$$
$$x = a$$
$$x = $$
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Wrong Answers: 0 of 3
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