Basic Inequalities
x + 3 > 7
x > 4
x > 2. Which direction does the graph shade on a number line?
What is to the right?
x > 1 and x < 5 can be written in one statement as what?
What is 1 < x < 5?
If a test score x needs to be at least 70, how would this be written as an inequality?
What is x ≥ 70?
Solve for b:
a + b > c.
What is b > c - a?
5x ≤ 25
What is x ≤ 5?
y ≤ -3. What type of circle is used on the number line for this inequality?
What is closed or filled?
Solve for x: -2 ≤ x + 1 < 4
What is -3 ≤ x < 3?
A bag can hold no more than 15 pounds of potatoes. Write the inequality.
What is p ≤ 15?
For c ≤ 3d - 4, solve for d.
What is d ≥ (c + 4)/3?
2y - 8 ≥ 4
What is y ≥ 6?
Which inequality symbol represents a shaded area above a line on a coordinate plane?
What is > or ≥?
Represent the solution to x < -1 or x > 3 on a number line.
What is two separate ray sections, one going left from -1 and one going right from 3?
If a bus can carry a maximum of 40 passengers and already has 25, what inequality shows how many more can board?
What is p ≤ 15?
Rearrange for y: 2x + 3y < 7.
What is y < (7 - 2x)/3?
12 - z < 9
What is z > 3?
y ≤ 17. What type of circle is used on the number line for this inequality? What direction do you draw the arrow?
What is closed or filled? What is to the left?
x > -6 and x < 3 can be written in one statement as what?
What is -6 < x < 3?
Jose needs at least $200 for a trip. If he has $50, write an inequality for how much more he needs to earn.
What is m ≥ 150?
Solve for m: k ≥ mn + t.
What is m ≤ (k - t)/n?
3a + 5 < 2a + 9
What is a < 4?
4 > x. Which direction does the graph shade on a number line? What type of circle is used on the number line for this inequality?
What is to the left? What is open?
x > 15 and x < 100 can be written in one statement as what?
What is 15 < x < 100?
A school event must have at least 150 attendees but not exceed 300. Write this as a compound inequality.
What is 150 ≤ a ≤ 300?
Solve for z: p/(z + 1) > q.
What is z < p/q - 1?