11.29 Solving One Step Inequalities

Front

What is an inequality?

Back

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

Front

What does it mean to solve an inequality?

Back

To solve an inequality means to find all values of the variable that make the inequality true.

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Back

m > -16

Front

How do you isolate a variable in an inequality?

Back

To isolate a variable, perform the same operations on both sides of the inequality, just like in equations, but remember to reverse the inequality sign if you multiply or divide by a negative number.

Front

Back

x < 65

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'.

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What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'.

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Back

x > 3.75

Front

What happens to the inequality sign when you multiply or divide both sides by a negative number?

Back

The inequality sign reverses direction.

Front

What is a one-step inequality?

Back

A one-step inequality is an inequality that can be solved in a single step, typically by adding, subtracting, multiplying, or dividing.