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zalisa [80]
3 years ago
11

Solve the inequality and graph its solution: 2t + 1 > 9 or –18 > 5t – 3

Mathematics
1 answer:
NISA [10]3 years ago
8 0
We have that
<span>2t + 1 > 9 or –18 > 5t – 3
this is a disjunction----------> the solution set is the union of the solution sets of each inequality 

</span>2t + 1 > 9--------------> 2t > (9-1)-------------> t > 4
the solution of this inequality is (4,∞)

–18 > 5t – 3----------> -18+3 > 5t--------> -15 > 5t------> -3 > t---------> t < -3
the solution of this inequality is (-∞,-3)

the solution of this system is the union of both ------> (-∞,-3) U (4,∞)

the answer Part A) is (-∞,-3) U (4,∞)

Part B)
using a graph tool
see the attached figure

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