1.5 Solving Inequalities
Inequality
In Words
Graph
x>3
x<3
x≥3
x≤3
-3 ≤ x ≤ 3
Aug 17­2:16 PM
1.5 Solving Inequalities
Inequality
In Words
Graph
-2 < x ≤ 4
x < -3 or x > 3
x ≤ -2 or x > 0
Aug 17­2:16 PM
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Examples Solve. Graph the solution.
1.) x + 5 > 10
2.) -2x + 10 ≤ 9
3.) -3(2x - 5) + 1 ≥ 4
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Special Cases:
4.) -2(3x + 1) > -6x + 7
5.) 5(2x - 3) - 7x ≤ 3x + 8
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Compound Inequalities
6.) -3 ≤ x - 5 < 10
7.) -5 < 4(x - 5) < 12
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8.) 2 + 3x < -13 or 4 + 2x > 7
9.) A movie rental company offers two subscription plans. You can
pay $36 a month and rent as many movies as desired, or you can pay
$15 a month and $1.50 to rent each movie. How many movies must
you rent in a month for the first plan to cost less than the second
plan?
Aug 17­2:30 PM
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Name: _______________
1.5 Homework
Solve. Graph the solution.
1.) -4(3x + 2) ≥ 16
2.) -2(w+4) + 9 < -11
3.) -6(2x - 10) + 12x ≤180
4.) -3<4-x≤3
Aug 17­2:33 PM
5.) 2x - 3 ≤ -4 or 3x + 1 ≥4
solution
two
6.) Write an inequality with a
that matches the graph. At least
steps should be needed to solve your
inequality.
7.) a.) You've saved $100 to purchase t-shirts from woot.com. Shirts cost $9.50
each plus $7.50 shipping per order. You will place one order. How many shirts
can you order? Set-up an inequality and solve! Show all steps.
b.) You can buy the same shirts in-store for $11 each. Under what conditions
should you purchase the shirts in-store? Set-up an inequality and solve. Show
all steps!
Aug 17­2:39 PM
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