Unit 6 Inequalities Review

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 '≥' mean?

Back

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

Front

What does the symbol '≤' mean?

Back

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

Front

How do you graph the inequality y > -x - 5?

Back

To graph y > -x - 5, draw the line y = -x - 5 as a dashed line and shade above the line.

Front

What is the solution set for the inequality y ≥ -3?

Back

The solution set includes all points on or above the horizontal line y = -3.

Front

How do you determine if a point is a solution to an inequality?

Back

Substitute the point's coordinates into the inequality. If the inequality holds true, the point is a solution.

Front

What is the difference between '>' and '≥'?

Back

'>' means greater than, while '≥' means greater than or equal to.

Front

What does the graph of y < -4 look like?

Back

The graph of y < -4 is a horizontal dashed line at y = -4, with shading below the line.

Front

How do you solve the inequality 2x - 3 < 5?

Back

Add 3 to both sides to get 2x < 8, then divide by 2 to find x < 4.

Front

What is the solution to the inequality y > 2?

Back

The solution includes all points above the horizontal line y = 2.