londay Monday Deeember 11, 11, 2017 012 No exms answers. You may use the last pa

Question

londay Monday Deeember 11, 11, 2017 012 No exms answers. You may use the last page for scratch work er December 2017 012 Noon. Noon. Plesse write your aswers Please will be write your asswers and work (if possible) on the exsm sheet. Please lobel all your You will only receive credit f orignal exam (or conplete photoog). You may uw Mathematica, Maple or Excel wnless otherwise specifiesd 3 Q31 Linear Inequalities. Pages 137-139, 149-154 Solve each of the following linear inequalities. (2 points each) b. 5-5Y 2 2 c. 6-2X5 d. 13-32]> 4

Explanation / Answer

a.7+7Z 5. On adding -7 to both the sides, we get 7Z -2 so that Z -2/7.

b.5-5Y 2. On adding -5 to both the sides, we get-5Y -3 or, 5Y 3 so that Y 3/5.

c.6-2X > 5. On adding -6 to both the sides, we get-2X > -1 or, 2X < 1 so that X < ½.

d.|3-3Z| > 4.Hence (3-3Z) < -4 or, (3-3Z)> 4. Then -3Z < -7 or, -3Z > 1 i.e. 3Z > 7 or, 3Z < -1 i.e. either Z > 7/3 or, Z < -1/3.

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