Solving inequalities

Front

Back

Get rid of parentheses.

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Back

X > -3/7.

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Back

a > 12.

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Back

x > 1.

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Back

Yes.

Front

What does it mean to 'isolate the variable' in an inequality?

Back

To manipulate the inequality so that the variable is on one side and the constant is on the other.

Front

What happens to the inequality sign when multiplying or dividing by a negative number?

Back

The inequality sign flips.

Front

What is a solution set in the context of inequalities?

Back

The set of all values that satisfy the inequality.

Front

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

Back

Use an open circle for < or > and a closed circle for ≤ or ≥.

Front

What is the difference between strict and non-strict inequalities?

Back

Strict inequalities (<, >) do not include the boundary, while non-strict inequalities (≤, ≥) do.