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The solution of the inequality 8x + 6 < 12x + 14 is
- a)(-2,2)
- b)(0,-2)
- c)(2, ∞)
- d)(-2,∞)
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The solution of the inequality 8x + 6 < 12x + 14 isa)(-2,2)b)(0,-2)...
There are different ways to express the solution of an inequality, but one common way is to write it in interval notation. To do this, we first isolate the variable on one side of the inequality:
8x - 6 ≤ 0
8x ≤ 6
x ≤ 6/8
x ≤ 3/4
This means that any value of x that is less than or equal to 3/4 makes the inequality true. We can represent this as the interval:
(-∞, 3/4]
Alternatively, we can write the solution using set-builder notation, which specifies the set of all x values that satisfy the inequality:
{x | x ≤ 3/4}
Either way, the solution indicates that x can be any number less than or equal to 3/4, including fractions, decimals, and negative numbers.
8x - 6 ≤ 0
8x ≤ 6
x ≤ 6/8
x ≤ 3/4
This means that any value of x that is less than or equal to 3/4 makes the inequality true. We can represent this as the interval:
(-∞, 3/4]
Alternatively, we can write the solution using set-builder notation, which specifies the set of all x values that satisfy the inequality:
{x | x ≤ 3/4}
Either way, the solution indicates that x can be any number less than or equal to 3/4, including fractions, decimals, and negative numbers.
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Community Answer
The solution of the inequality 8x + 6 < 12x + 14 isa)(-2,2)b)(0,-2)...
6-14 is smaller than 12x - 8x
-8 is smaller than 4x
so,x is always greater than -2
hence correct option is (d)
-8 is smaller than 4x
so,x is always greater than -2
hence correct option is (d)
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The solution of the inequality 8x + 6 < 12x + 14 isa)(-2,2)b)(0,-2)c)(2,∞)d)(-2,∞)Correct answer is option 'D'. Can you explain this answer?
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The solution of the inequality 8x + 6 < 12x + 14 isa)(-2,2)b)(0,-2)c)(2,∞)d)(-2,∞)Correct answer is option 'D'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The solution of the inequality 8x + 6 < 12x + 14 isa)(-2,2)b)(0,-2)c)(2,∞)d)(-2,∞)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The solution of the inequality 8x + 6 < 12x + 14 isa)(-2,2)b)(0,-2)c)(2,∞)d)(-2,∞)Correct answer is option 'D'. Can you explain this answer?.
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