Question
Asked Oct 28, 2019
SU
into th
MATH 1314
Coll
MATH 1316
МАTH
Offi
Solve the inequality. Write the solution set in interval notation if possible.
Cpialle-s)
(e-3)
2.
Cpia) (p-s)
Zo
р* — Зр — 10
20
(P-3)
p-3
Aestricked 3
p-10
patap-5p-1 O
Cpra)-sCpta)- O
Cp+aXp-S)s
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SU into th MATH 1314 Coll MATH 1316 МАTH Offi Solve the inequality. Write the solution set in interval notation if possible. Cpialle-s) (e-3) 2. Cpia) (p-s) Zo р* — Зр — 10 20 (P-3) p-3 Aestricked 3 p-10 patap-5p-1 O Cpra)-sCpta)- O Cp+aXp-S)s

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Expert Answer

Step 1

Given inequality is 

-3р-10
20
р-3
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-3р-10 20 р-3

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Step 2

Case1. If numerator is greater and equal to 0 and denominator ig greater than 0

p - Зр-1020, р-3>0
р* - 5p+2р-1020, р-3>0
(р-5)(р+2)20, р-3>0
pе(-,-2]5,0), ре (3,-0)
ре15,0)
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p - Зр-1020, р-3>0 р* - 5p+2р-1020, р-3>0 (р-5)(р+2)20, р-3>0 pе(-,-2]5,0), ре (3,-0) ре15,0)

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Step 3

Case2. If numerator is lesser and equal to 0 ...

p-3p-10,p-3<0
(p-5)(p+2)0,p-3 <0
p[-2,5].pe (-0,3)
pe[-2,3)
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p-3p-10,p-3<0 (p-5)(p+2)0,p-3 <0 p[-2,5].pe (-0,3) pe[-2,3)

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Math

Algebra

Equations and In-equations