Page 46 - Algebra 1

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Explanation:
𝑥+1
1. 𝑥−3>5
𝑥−3
16−4𝑥 > 0 𝑥−3
4𝑥−16 < 0 𝑥−3 𝑎
Since 𝑏 are less than 0, they have to be opposite in sign.
So, 4x – 16 > 0 x–3<0
x > 4 and x < 3 3<x<4
2. Profit = revenue – cost
Profit = 70x + 3500 – (15x + 9000) Profit = 70x + 3500 – 15x – 9000
= 55x – 5500 For profit,
55x – 5500 > 0
55x > 5500
x > 100
The manufacture should sell more than 100 hair serum to earn some profit.
3. Let the breadth be x Length = 5x
Perimeter of the rectangle = 2(length + breadth) Given that,
2(x + 5x) ≥ 180
6x ≥ 90
x ≥ 15 cm
4. Let the marks scored by Amanda in the fifth subject be x 95+88+91+89+𝑥 ≥ 92
5
95 + 88 + 91 + 89 + x ≥ 92 × 5
95 + 88 + 91 + 89 + x ≥ 460
363 + x ≥ 460
x ≥ 97
Amanda should score more than 97 in the fifth subject.
𝑥+1 𝑥−3
– 5> 0 𝑥+1−5𝑥+15 > 0
Page 45 of 54
ALGEBRA
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