Transcript Solve the inequality and graph the solutions.

Solving Inequalities by
3-3 Multiplying or Dividing
Objectives
Solve one-step inequalities by using
multiplication.
Solve one-step inequalities by using division.
Holt Algebra 1
Solving Inequalities by
3-3 Multiplying or Dividing
10y – (4y + 8) = –20
10 y  4 y  8  20
6 y  8  20
8 8
6 y  12
6
6
y  2
Holt Algebra 1
Solving Inequalities by
3-3 Multiplying or Dividing
Solve the inequality and graph the solutions.
7x > –42
7
7
x  6
3
7.2  m
–10 –8 –6 –4 –2
0
2
4
6
8 10
3
–10 –8 –6 –4 –2
0
2
4
6
8 10
7.2
Holt Algebra 1
Solving Inequalities by
3-3 Multiplying or Dividing
Solve the inequality and graph the solutions.
4

3
4
r  16
4

31
14 16 18
–50 ≥ 5q
5
5
10  q
Holt Algebra 1
–10 –8 –6 –4 –2
0
2
4
6
8 10
Solving Inequalities by
3-3 Multiplying or Dividing
Solve the inequality and graph the solutions.
4

3
4

31
g  36
Holt Algebra 1
9
34 36 38
Solving Inequalities by
3-3 Multiplying or Dividing
If you multiply or divide both sides of an
inequality by a negative number, the resulting
inequality is not a true statement. You need to
reverse the inequality symbol to make the
statement true.
Solve the inequality and graph the solutions.
–12x > 84
12 12
x  7
Holt Algebra 1
–10 –8 –6 –4 –2
0
2
4
6
8 10
Solving Inequalities by
3-3 Multiplying or Dividing
Solve the inequality and graph the solutions.
3 
3
24  x
22 24 26
4.25 > –0.25h
0.25 0.25
17  h
Holt Algebra 1
19 17 15
Solving Inequalities by
3-3 Multiplying or Dividing
Jill has a $20 gift card to an art supply store
where 4 oz tubes of paint are $4.30 each after
tax. What are the possible numbers of tubes
that Jill can buy?
4.30T  20
4.30
4.30
T  4.65
Since Jill can buy only whole numbers of tubes,
she can buy 0, 1, 2, 3, or 4 tubes of paint.
Holt Algebra 1
Solving Inequalities by
3-3 Multiplying or Dividing
A pitcher holds 128 ounces of juice. What are
the possible numbers of 10-ounce servings that
one pitcher can fill?
10S  128
10
10
S  12.8
The pitcher can fill 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
10, 11, or 12 servings.
HW pp.183-185/19-55 odd,61-70,72,79-87 odd
Holt Algebra 1