Solving and graphing Inequalites
Solve:
x+6>14x
x > 8
Solve:
2x+4<10
x < 3
Solve:
3<x<9
All numbers between 3 and 9
Solve:
∣x∣=5
x = 5 or x = -5
What is the probability of flipping heads on a coin?
1/2
What are the five numbers in a box-and-whisker plot?
Min, Q1, Median, Q3, Max
Solve:
∣x−4∣≥3
x ≤ 1 OR x ≥ 7
Solve:
4x≤20
x ≤ 5
Solve:
3x−5≤16
x ≤ 7
Solve:
x≥4 AND x≤10
4 ≤ x ≤ 10
Solve:
∣x∣<3
-3 < x < 3
Probability of rolling a 3 on a fair die?
1/6
What does the box represent?
Middle 50% (IQR)
x−3<7
x < 10 (open circle at 10, shade left)
Solve:
4x+8>2x+18
x > 5
Solve:
x<−2 OR x>5
Two separate regions
Solve:
∣x∣>4
x < -4 OR x > 4
Rolling a die AND flipping heads?
1/6 × 1/2 = 1/12
Graph:
y>2x+1
What type of line?
Dashed
−3x>12
x < -4 (flip sign)
Solve
−2x+6≤10
x ≥ -2
Solve:
2x+1≤9 AND 3x−3>0
1 < x ≤ 4
Solve:
∣x−2∣≤6
-4 ≤ x ≤ 8
Probability of NOT rolling a 1 on a die?
5/6
Graph:
y≤−x+3
Shade above or below?
Below (solid line)
5x−10≥15
x ≥ 5
Solve:
5(x−2)>3x+4
x > 7
Solve:
−1≤2x+3<7
-2 ≤ x < 2
Solve:
∣2x∣>10
x < -5 OR x > 5
Probability of drawing a red card AND a king from a standard deck?
2/52 or 1/26
If Q1 = 10 and Q3 = 22, what is the IQR?
12