Symbols/Inequalities
Solve the following inequality.
3 < -5n + 2n
n<-1
Graph the following inequality on a number line.
d < 6
On the board.
Solve the following compound inequality.
w+2 < 5 OR w-1>6
w<3 OR w>7
x+3<7 and 2x+3>1
Show the solution in interval notation.
(-1, 4)
Label the following inequality symbol. >
Is Greater Than
Solve the following inequality.
6x + 2 + 6x ≤ 14
x ≤ 1
Graph the following inequality on a number line.
w ≥ -2
Answer on board.
Solve and graph the following compound inequality:
3x + 2 < 5 OR -4x + 5 ≤ -7
x<1 OR x≥3
Solve following compound inequality:
3 < r +1 < 6
Write the solution in interval notation.
Label the following inequality symbol. ≤
Is Less than or Equal to
Solve the following inequality.
5 (6 + 3y) + 7 ≥ 127
y ≥ 6
Graph: 2x+2 > 4
On board.
15x-3>9x+15 or -23+4x>12x+1
x>3 or x<-3
Solve and graph the compound inequality.
-3≤ 2x+3 <5
Write your answer in interval notation.
-3≤x<1
[-3, 1)
What is < ?
Is Less Than
Solve the following inequality.
- 6(4x+6)-3 > -111
x < 3
Graph the following compound inequality: s < -2 OR s > 4
On board.
2x + 4 > 12 or x/9 < 0
x>4 or x<0
3x+14<-2(x+13) and 3x-1>5x-13
Write your answer in interval notation.
x>-8 and x<6
(-8,6)
True or False? -6 > -10
True
Solve the following inequality.
28 - 7x < -4(2x - 7)+14
Write your answer in interval notation.
x <14
(-infinity, 14)
Graph the following compound inequality.
Graph: 4<-3x - 2 ≤ 7
Graph on board.
-3<x<-2
(-3 is less than or EQUAL to x)
Your local bank offers free checking for accounts with a balance of at least $500. Suppose you have a balance of 516.46 and you write a check for $31.96. How much do you need to deposit to avoid being charged a service fee? Write and solve an inequality to represent this situation. (Hint: This is a regular inequality, not compound)
x>15.50
3≤2x+9<13
-3≤x<2
[-3, 2)