Graphing Inequalities

Front

What does a solid line indicate in graphing inequalities?

Back

A solid line indicates that the inequality includes the boundary line, meaning the symbol has 'or equal to' (≤ or ≥).

Front

What does a dashed line indicate in graphing inequalities?

Back

A dashed line indicates that the inequality does not include the boundary line, meaning the symbol is either < or >.

Front

How do you determine if you need to flip the inequality sign?

Back

You need to flip the inequality sign when you multiply or divide both sides of the inequality by a negative number.

Front

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

Back

The area above the line y = 2, with a dashed line indicating that points on the line are not included.

Front

What is the graphical representation of the inequality y ≤ 1?

Back

The area below and including the line y = 1, with a solid line indicating that points on the line are included.

Front

How do you graph the inequality x < 3?

Back

Draw a vertical dashed line at x = 3 and shade to the left, indicating all values less than 3.

Front

What is the solution set for the inequality 2x + 3 < 7?

Back

x < 2.

Front

How do you represent the inequality y < -1/2x + 3 graphically?

Back

Graph the line y = -1/2x + 3 with a dashed line and shade below the line.

Front

What does the inequality x ≥ -2 represent on a number line?

Back

All numbers to the right of -2, including -2 itself.

Front

What is the solution to the inequality -3x ≥ 12?

Back

x ≤ -4.