Unit 6 Inequalities Review

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 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 ≥ -x + 1?

Back

To graph y ≥ -x + 1, first graph the line y = -x + 1 as a solid line, then shade the area above the line.

Front

What is the solution set of the inequality y < 2?

Back

The solution set of y < 2 includes all points below the horizontal line y = 2.

Front

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

Back

To determine if a point is a solution, substitute the x and y values of the point into the inequality and check if the statement is true.

Front

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

Back

The symbol '>' means 'greater than' and does not include the boundary, while '≥' means 'greater than or equal to' and includes the boundary.

Front

Write an inequality to represent the situation: A school fundraiser needs to raise at least $3200 from ticket sales.

Back

200x + 250y ≥ 3200, where x is the cost of adult tickets and y is the cost of child tickets.

Front

What does the graph of y > 2 look like?

Back

The graph of y > 2 is a dashed horizontal line at y = 2, with shading above the line.

Front

What is the solution to the inequality x < -5?

Back

The solution to x < -5 includes all numbers less than -5.