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Fynjy0 [20]
3 years ago
8

What is the solution of 9|2x – 1| + 4 < 49?

Mathematics
2 answers:
Aneli [31]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given

9 | 2x - 1 | + 4 < 49 ( subtract 4 from both sides )

9 | 2x - 1 | < 45 ( divide both sides by 9 )

| 2x - 1 | < 5

Inequalities of the type | x | < a always have solutions of the form

- a < x < a, thus

- 5 < 2x - 1 < 5 ( add 1 to all 3 intervals )

- 4 < 2x < 6 ( divide all 3 intervals by 2 )

- 2 < x < 3

luda_lava [24]3 years ago
3 0

Answer: -2

Step-by-step explanation:

You need to set up two cases (Positive case and negative case) and solve for "x".

- POSITIVE CASE IF: 2x-1>0

9(2x -1) + 4 < 49\\18x-9

- NEGATIVE CASE IF: 2x-1

-9(2x -1) + 4 < 49\\-18x+9

Therefore, the solution is:

-2

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