Just the Basics
True/False: 0 is a solution to 2y + 1 < -3
What is false (2*0 + 1 = 1 and 1 > -3)
Solve: m + 5 > -3
What is m > -8
Solve: 8 ≤ 4v - 4 + 2v
What is 2 ≤ v.
v is greater than or equal to 2.
Solve: 2y - 5 > 9 + 3y
What is y < -14 (or -14 > y)
Kids under 52" can ride the roller coaster.
What is y < 52?
True/False: 0 is a solution to 5(2g - 7) ≥ 10
What is false ... 5(2*0 - 7) = 5(0- 7) = 5(-7) = -35... and -35 is not greater than 10.
Statement is not true:
-35 ≥ 10
Solve: t + 8 ≤ -8
What is t ≤ -16
3m - 10 - 2m < 0
What is m < 10?
m is less than 10.
Solve: 3(2 + r) ≥ 15 - 2r
What is r ≥ 9/5
Your average in Algebra must be a 92.5 or greater to receive an A. Write an inequality to model this situation.
What is a ≥ 92.5
Graph -1 ≥ x
Closed circle at -1, shading to the left.
Solve: -7b > 42
What is b < -6
Solve: -3(2n + 1) > 9
What is n < -2
Solve: 2x + 4x > 5 + 1
What is x > 1?
x is greater than 1.
The length of a rectangle is 40 in, and its area is to be less than 360 in2. What can be said about the width of the rectangle?
What is it must be less than 9 inches (w < 9)
Graph - 4 ≤ y
Solve: b/3 ≥ -2
What is b ≥ -6
Solve: 5m - 3 ≥ -18
What is m ≤ -3
.5x + .5x < 1
What is x < 1?
x is less than 1.
The leading scorer in your basketball division finished the season with an average of 20 points per game for 25 games. As the division's second leading scorer, you have a 19.5 point per game average for 24 games. You have yet to play your last game. How many points must you score in the last game of the season to overtake the division's leading scorer?
What is 32 points or more (p > 32).
Graph on a number line all values of x such that x > -2 and x ≤ 2.
Open circle at -2, shading to the right, closed circle at 2, shading to the left. All numbers intersecting both sections of shades is the full solution set.
Solve: x/-5 ≥ -9
What is n ≤ 45
Solve: x + x + x + x < -8
What is x < -2?
x is less than -2.
100x + 100 < 100
What is x < 0?
x is less than 0.
What is no solution?
This is a contradiction, where two identical quantities can be nothing but equal to one another, but impossible for one side to be greater or less than the other side.