Triangle ABC has side lengths 8, 15, and 17. Do the side lengths from a Pythagorean triple? Yes or no?
2 answers:
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Here we are given the inequality:
Let us check for each ordered pair that satisfies the given inequality.
1. (3,0)
LHS: y
here y is 0.
So LHS is 0.
RHS: 4x-5
plugging x as 3,
4(3)-5 = 7
0≥7
False
So (3,0) does not satisfy the inequality.
2. (1,1)
LHS: y
here y is 1.
So LHS is 1.
RHS: 4x-5
plugging x as 1,
4(1)-5 = -1
1≥-1
True
So (1,1) satisfy the inequality.
1. (3,4)
LHS: y
here y is 4.
So LHS is 4.
RHS: 4x-5
plugging x as 3,
4(3)-5 = 7
4≥7
False
So (3,4) does not satisfy the inequality.
1. (2,1)
LHS: y
here y is 1.
So LHS is 1.
RHS: 4x-5
plugging x as 2,
4(2)-5 = 3
2≥3
False
So (2,1) does not satisfy the inequality.
Answer: (1,1) is the solution of the given inequality.
