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What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, greater than or equal to, or less than or equal to the other.

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What does 'no solution' mean in the context of inequalities?

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'No solution' means that there are no values of the variable that can satisfy the inequality.

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What is a compound inequality?

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A compound inequality combines two or more inequalities using 'and' or 'or'.

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What does 'x < 1 and x > 5' represent?

Back

This represents a situation where no value of x can satisfy both conditions simultaneously, resulting in no solution.

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What does 'x > 2 or x ≤ -3' mean?

Back

This means that x can be any value greater than 2 or any value less than or equal to -3.

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Front

What is the solution to the compound inequality 3x + 2 < -7?

Back

First, solve for x: 3x < -9, so x < -3.

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What is the solution to the compound inequality -4x + 5 < 1?

Back

First, solve for x: -4x < -4, so x > 1.

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What is the difference between 'and' and 'or' in compound inequalities?

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'And' requires both conditions to be true, while 'or' requires at least one condition to be true.

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What does the graph of an inequality represent?

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The graph of an inequality shows all the possible solutions on a number line.