Front

What is a multi-step inequality?

Back

A multi-step inequality is an inequality that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, or division.

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How do you isolate a variable in a multi-step inequality?

Back

To isolate a variable, perform inverse operations on both sides of the inequality, ensuring to reverse the inequality sign when multiplying or dividing by a negative number.

Front

What does the symbol '>' represent in inequalities?

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'>' means 'greater than', indicating that the value on the left is larger than the value on the right.

Front

What does the symbol '≥' represent in inequalities?

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'≥' means 'greater than or equal to', indicating that the value on the left is either larger than or equal to the value on the right.

Front

What does the symbol '≤' represent in inequalities?

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'≤' means 'less than or equal to', indicating that the value on the left is either smaller than or equal to the value on the right.

Front

How do you graph a solution to an inequality on a number line?

Back

To graph an inequality, use an open circle for '>' or '<' and a closed circle for '≥' or '≤'. Shade the region that represents the solution set.

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What is the first step in solving the inequality -4x + 14 ≤ 54?

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The first step is to isolate the term with the variable by subtracting 14 from both sides, resulting in -4x ≤ 40.

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What is the final solution for the inequality -4x + 14 ≤ 54?

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The final solution is x ≥ -10 after dividing both sides by -4 and reversing the inequality sign.

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What is the importance of checking your solution in an inequality?

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Checking your solution ensures that the values satisfy the original inequality, confirming that the solution is correct.

Front

What is a compound inequality?

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A compound inequality consists of two or more inequalities joined by 'and' or 'or', representing a range of values.