Vocabulary
This symbol means greater than
(Write answer on the board and hold it up)
What is >
Solve: x + 3 > 7
What is x > 4
The graph of x > 2 has this type of circle at the number 2 on a number line.
What is an open circle
A movie theater requires you to be at least 13 years old to watch a movie. Write the
inequality for age (a).
What is a ≥ 13
Inequalities are similar to equations, but instead of an equals sign, they use these
symbols.
What are <, >, ≤, ≥?
What is the coefficient in the equation 6x<8
What is 6
2x ≤ 10
What is x ≤ 5
The graph of x ≤ -5 shades in this direction.
What is left
A bus can hold at most 50 passengers. Write the inequality for number of
passengers (p).
What is p ≤ 50
When you add or subtract the same number to both sides of an inequality, this
happens to the inequality sign.
What is it stays the same
When you multiply or divide an inequality by this type of number, the inequality sign must be flipped
What is a negative number
-3x >9
What is x < -3
Graphing x ≥ 0 starts with this type of circle at 0.
What is a closed circle
You need more than $25 to buy a concert ticket. Write the inequality for money
(m).
What is m > 25?
When you multiply or divide both sides of an inequality by a negative number, this
happens to the inequality sign.
What is it flips (reverses)
The graph of this type of inequality uses a closed (filled-in) circle.
(write the symbol on board)
What is greater than or equal to or less than or equal to
5 - x ≥ 2
What is x ≤ -3
If the solution is all numbers less than 8, the arrow points in this direction.
What is left
A student must have no fewer than 5 credits to graduate. Write the inequality for
credits (c).
What is c ≥ 5
Inequalities can be graphed on a number line using two different types of circles.
What do they represent?
What are open circle (not included) and closed circle (included)
The inequality symbol that means less than or equal to.
What is ≤?
4x - 7 < 9
What is x < 4
True/False — The graph of x < 3 includes 3.
What is false
A bag can carry no more than 15 pounds. Write the inequality for weight (w).
What is w ≤ 15
True or False
When you are solving an inequality you must do the order of operations backwards.
What is true