The set of values of \(x\) which satisfy the inequality \(0.7^{(2x^2 - 3x + 4)} < 0.343\) is
Question and options
The set of values of which satisfy the inequality is
Answer and explanation
Correct answer: D - \(\left( -\infty, \frac{1}{2} \right) \cup \left( 1, \infty \right)\)
0.343 = 0.7^3 and base < 1 reverses the inequality: 2x^2-3x+4 > 3, i.e. (2x-1)(x-1) > 0, so x < 1/2 or x > 1.
Practice for these exams
-
IPMAT Indore
Related question papers
Related exam syllabi
More solved explanations in Arithmetic
- Four coins are tossed simultaneously, and their faces are read in a fixed order from the first coin to the fourth. What is the probability that no two consecutive…
- If you flip a fair coin twice, what is the probability of getting exactly one head?
- By selling 33 m of cloth, P gained the selling price of 11 m. The percentage gain is
- The simple interest on a sum for three years at 5% per year is ₹67,500. How much interest would half that principal earn over three years at twice the annual rate,…
- A and B started a business with a total capital of Rs. 30,000. At the end of the year, they shared the profit in the ratio of their investments. If their capitals…