Book Maths Puzzle Algebra

I need how to solve and verify the solutions:
1. r+7>-5
2. -35 +6n<7n
3. -14+p>4-(-2p)
4. x-5>-3/3
5. 4(n-1)<7n+8

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Book Other Question

i dont knoww how to do this 3/4multiplyed (8x+negitive20}=1/2times(neg.16x+neg.4)+1 can u help me please! what is the vertex of the quadratric equation y = x^2 - 6x + 9