8th Refresher #9

Front

What does the coefficient 1.5 represent in the equation y = 1.5x + 5 for a cab company's charges?

Back

The cost, in dollars, per mile driven.

Front

What does the constant 5 represent in the equation y = 1.5x + 5 for a cab company's charges?

Back

The flat pick-up fee.

Front

Solve the inequality: 3x + 5 > -10

Back

x > -5

Front

How many solutions does the equation 2(3x + 2) = 6x - 8 have?

Back

No solutions.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does it mean to solve an inequality?

Back

To find all values of the variable that make the inequality true.

Front

What is the solution set of the inequality x < 3?

Back

All real numbers less than 3.

Front

What is the graphical representation of the inequality x > 2?

Back

A number line with an open circle at 2 and a line extending to the right.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What does it mean if an inequality has no solutions?

Back

It means there are no values of the variable that satisfy the inequality.