Q Apply
Solve each inequality. Graph and check your solutions.- x+ 5< 10 34. rc + 6 > -2 35. 2 < 9 + c
- — 1 > 5 + b 37. ^ + a > —| 38. 8.6 + z < 14
- \< n + 3 40. 3.8>b + 4 41.§ + d > - §
- Fi t n ess Your goal is to take at least 10,000 steps p e r day. A ccording to your ^ Se e Pr o b l em 4.
pedom eter, you have w alked 5274 steps. W rite an d solve an inequality to find
th e possible n u m b ers of steps you can take to reach your goal. - Fundraising The environm ental club is selling in d o o r h erb gardens for Earth
Day. Each m em b er is encouraged to sell at least 10 gardens. You sell 3 gardens
on M onday a n d 4 gardens on Tuesday. W rite an d solve an inequality to find the
possible n u m b ers of gardens you can sell to reach your goal. - M onthly Budget You ea rn $250 p e r m o n th from your part-tim e job. You are in a
kayaking club th a t costs $20 p er m onth, a n d you save at least $100 e ach m onth.
W rite a n d solve an inequality to find th e possible am o u n ts you have left to sp en d
each m onth.
Tell what you can do to the first inequality in order to get the second.- 36 < - 4 + y; 40 < y 46. 9 + b > 24; b > 15 47.
Tell whether the two inequalities in each pair are equivalent.- 45 < - 5 + z; 40 < z 49. 7 + c > 33; c > 26 50. n - \ < |; n < 1
You can draw a model to represent an inequality. For example, the model
below represents the inequality 85 + v < 120. Draw a model to represent each
inequality below.
Y............................... 120 i- 17 + x < 51 52. 12 +y > 18 53. -3 + m < 13
Solve each inequality. Justify each step.- y - 4 + 2 > 10
- —5 > p - |
55.§ + d<2§60.l + v -^ > 0- h ~ l > -1
58. a + 5.2 < - 4 .6
61. —4 p — 2 + 5 p > 1 0
64. 8i;-7t'-3> -6
56. z - 1.4 < 3 .9
59. -3.1 > z - 1.9
62. 5y + 5 — 4y < 8
65. 5 m —^7
16
66. Go v e r n m e n t The U.S. Senate is com p o sed of 2 senators from ea ch of th e 50 states.
In order for a treaty to b e ratified, at least two thirds of th e senators p re sen t m ust
approve th e treaty. Suppose all senators are p re se n t a n d 48 of th e m have voted in
favor of a treaty. W hat are th e possible n u m b ers of additional senators w ho m ust
vote in favor of th e treaty in order to ratify it?c
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