8th Refresher #9

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

Front

What does the term 'no solutions' mean in the context of equations?

Back

'No solutions' means that there are no values for the variable that can satisfy the equation.

Front

What does the term 'infinitely many solutions' mean?

Back

'Infinitely many solutions' means that there are countless values for the variable that can satisfy the equation.

Front

Back

The 5 represents the flat pick-up fee charged by the cab company.

Front

Back

The 1.5 represents the cost, in dollars, per mile driven.

Front

What is the difference between a linear equation and a linear inequality?

Back

A linear equation shows equality between two expressions, while a linear inequality shows a relationship of greater than or less than.

Front

How do you graph a linear inequality?

Back

To graph a linear inequality, first graph the corresponding equation as a line, then shade the region that satisfies the inequality.

Front

What is the significance of the direction of the inequality sign?

Back

The direction of the inequality sign indicates which way the solution set extends on the number line.