Multi-Step Inequalities
x > 4
The product of 7 and a number plus 1 is more than 22.
x > 3
Plot: x > 5
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5
OPEN CIRCLE going RIGHT
6x + 4 < 34
x < 5
What symbol would you use if a word problem uses "is fewer than"?
<
3(x + 6) ≤ 24
x ≤ 2
8 times a number, plus 7 is less than or equal to 71
x ≤ 8
Plot: x ≤ 37
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37
CLOSED CIRCLE going LEFT
12x - 8 > 40
x > 4
On a number line, when do you use a CLOSED circle?
When the inequality is ≥ or ≤
4(3x + 2) + 2 > 6(2x +2)
All Real Numbers
A number, n, divided by 12, then added to 3 is less than 7
n ≤ 48
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27
What is the inequality?
x < 27
5x + 17 > 35
x > 3.6
What symbol would you use for "is at most"?
≤
1.8 - 0.4y ≥ 2.2 - 2y
y ≥ .25
Skylar is going to a bakery to buy cookies and cupcakes for a party. The cookies are $.99 cents each, and the cupcakes are $1.55 each. They have $35 to spend at the bakery and need to buy at least 15 cookies. What is the maximum amount of cupcakes Skylar can buy?
x ≤ 13
Plot: 2x > 12
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6
x > 6; OPEN CIRCLE going RIGHT
4 + ˣ⁄₃ ≥ 12
x ≥ 24
Fill in the blank:
Whenever you ______ or _______ on both sides, the sign flips.
The sign flips
6x + 4 - 2x > 4(x + 1)
No Solution
The cost for admission at the fair is $7. The games at the fair are $.25 each, and the rides are $.45 each. Willow wants to play 10 games at the fair. If she brings $15 to spend at the fair, what is the maximum amount of rides she can go on?
r ≤ 12
Plot: 3 + 4x > 19
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4
x > 4; OPEN CIRCLE gong RIGHT
½n + 4 <24
n < 48
What are Linear Inequalities similar to?
Linear Equations