Graphing Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' represent?

Back

The symbol '>' means 'greater than'.

Front

What does the symbol '<' represent?

Back

The symbol '<' means 'less than'.

Front

What does the symbol '≥' represent?

Back

The symbol '≥' means 'greater than or equal to'.

Front

What does the symbol '≤' represent?

Back

The symbol '≤' means 'less than or equal to'.

Front

How do you graph the inequality y > -2?

Back

To graph y > -2, draw a dashed horizontal line at y = -2 and shade the area above the line.

Front

How do you graph the inequality x < -2?

Back

To graph x < -2, draw a dashed vertical line at x = -2 and shade the area to the left of the line.

Front

What is the solution set of the inequality y < -3?

Back

The solution set includes all points below the horizontal line y = -3.

Front

If a point lies on the line of y = -2, is it a solution to y > -2?

Back

No, points on the line are not included in the solution for y > -2.

Front

How do you represent the inequality for Mrs. Sanchez's budget problem?

Back

The inequality is represented as 3x + 20 ≤ 120, where x is the price of the skirt.