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x2 – 7x + 12 < |x – 4|
- a)x < 2
- b)x > 4
- c)2 < x < 4
- d)2 £ x £ 4
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
x2 – 7x + 12 < |x – 4|a)x < 2b)x > 4c)2 < ...
At x = 0, inequality is not satisfied, option (a) is rejected.
At x = 5, inequality is not satisfied, option (b) is rejected.
At x = 2 inequality is not satisfied.
Options (d) are rejected.
Option (c) is correct
At x = 5, inequality is not satisfied, option (b) is rejected.
At x = 2 inequality is not satisfied.
Options (d) are rejected.
Option (c) is correct
Most Upvoted Answer
x2 – 7x + 12 < |x – 4|a)x < 2b)x > 4c)2 < ...
To find the correct answer, let's simplify the given expression x^2 + 7x + 12.
Simplification:
1. Factorize the expression: x^2 + 7x + 12 = (x + 3)(x + 4)
Now, let's examine the options given:
a) x 2: This option is incorrect because it only includes the term x^2 and does not account for the other terms in the expression.
b) x 4: This option is incorrect because it only includes the term x^4 and does not account for the other terms in the expression.
c) 2 x 4: This option is correct because it represents the factored form of the expression (x + 3)(x + 4).
d) 2 x 4: This option is incorrect because it does not represent the factored form of the expression.
Therefore, the correct answer is option C, 2 x 4.
Explanation:
- The given expression x^2 + 7x + 12 can be factored as (x + 3)(x + 4).
- Factoring involves finding two binomials that, when multiplied together, yield the original expression.
- In this case, (x + 3)(x + 4) is the factored form of the expression.
- The factored form represents the original expression in a simplified and multiplied form.
- Option C, 2 x 4, represents the factored form of the expression, making it the correct answer.
- It is important to carefully analyze each option and compare it to the given expression to identify the correct answer.
In conclusion, the correct answer is option C, 2 x 4, which represents the factored form of the expression x^2 + 7x + 12 as (x + 3)(x + 4).
Simplification:
1. Factorize the expression: x^2 + 7x + 12 = (x + 3)(x + 4)
Now, let's examine the options given:
a) x 2: This option is incorrect because it only includes the term x^2 and does not account for the other terms in the expression.
b) x 4: This option is incorrect because it only includes the term x^4 and does not account for the other terms in the expression.
c) 2 x 4: This option is correct because it represents the factored form of the expression (x + 3)(x + 4).
d) 2 x 4: This option is incorrect because it does not represent the factored form of the expression.
Therefore, the correct answer is option C, 2 x 4.
Explanation:
- The given expression x^2 + 7x + 12 can be factored as (x + 3)(x + 4).
- Factoring involves finding two binomials that, when multiplied together, yield the original expression.
- In this case, (x + 3)(x + 4) is the factored form of the expression.
- The factored form represents the original expression in a simplified and multiplied form.
- Option C, 2 x 4, represents the factored form of the expression, making it the correct answer.
- It is important to carefully analyze each option and compare it to the given expression to identify the correct answer.
In conclusion, the correct answer is option C, 2 x 4, which represents the factored form of the expression x^2 + 7x + 12 as (x + 3)(x + 4).
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x2 – 7x + 12 < |x – 4|a)x < 2b)x > 4c)2 < x < 4d)2 £ x £ 4Correct answer is option 'C'. Can you explain this answer?
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