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The solution set of the in equation x 2 > 0 and 2x - 6 > 0 is (a) (-2, infinity) (b) (3, infty) (c) (- infty,2) (d) (- infty,-2)?
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The solution set of the in equation x 2 > 0 and 2x - 6 > 0 is (a) (-...
Solution:

Given in equation is x + 2 > 0 and 2x - 6 > 0.

Step 1: Solving the first inequality

x + 2 > 0

x > -2

Step 2: Solving the second inequality

2x - 6 > 0

2x > 6

x > 3

Step 3: Combining the solutions

The solution set is the intersection of the two solution sets, which means that the solution set must satisfy both inequalities.

Therefore, the solution set is x > 3 and x > -2.

The solution set is (3, infinity).

Hence, the correct option is (b) (3, infinity).

Note: The solution set (a) (-2, infinity) satisfies the first inequality but not the second inequality. The solution set (c) (- infinity, 2) satisfies the second inequality but not the first inequality. The solution set (d) (- infinity, -2) does not satisfy either inequality.
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The solution set of the in equation x 2 > 0 and 2x - 6 > 0 is (a) (-2, infinity) (b) (3, infty) (c) (- infty,2) (d) (- infty,-2)?
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The solution set of the in equation x 2 > 0 and 2x - 6 > 0 is (a) (-2, infinity) (b) (3, infty) (c) (- infty,2) (d) (- infty,-2)? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The solution set of the in equation x 2 > 0 and 2x - 6 > 0 is (a) (-2, infinity) (b) (3, infty) (c) (- infty,2) (d) (- infty,-2)? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The solution set of the in equation x 2 > 0 and 2x - 6 > 0 is (a) (-2, infinity) (b) (3, infty) (c) (- infty,2) (d) (- infty,-2)?.
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