Advertisements
Advertisements
प्रश्न
State which of the following statement is True or False.
If xy < 0, then x < 0 and y < 0
पर्याय
True
False
उत्तर
This statement is False.
Explanation:
If xy < 0
⇒ x < 0 and y > 0 or x > 0, y < 0
APPEARS IN
संबंधित प्रश्न
\[\frac{2\left( x - 1 \right)}{5} \leq \frac{3\left( 2 + x \right)}{7}\]
\[\frac{x - 1}{3} + 4 < \frac{x - 5}{5} - 2\]
\[\frac{6x - 5}{4x + 1} < 0\]
\[\frac{5x + 8}{4 - x} < 2\]
\[\frac{7x - 5}{8x + 3} > 4\]
Solve each of the following system of equations in R.
x − 2 > 0, 3x < 18
2x + 6 ≥ 0, 4x − 7 < 0
Solve each of the following system of equations in R.
3x − 1 ≥ 5, x + 2 > −1
Solve the following system of equation in R.
x + 5 > 2(x + 1), 2 − x < 3 (x + 2)
Solve each of the following system of equations in R.
\[0 < \frac{- x}{2} < 3\]
Solve each of the following system of equations in R.
20. −5 < 2x − 3 < 5
Solve each of the following system of equations in R. \[\frac{4}{x + 1} \leq 3 \leq \frac{6}{x + 1}, x > 0\]
Solve \[\left| x - 1 \right| + \left| x - 2 \right| + \left| x - 3 \right| \geq 6\]
Mark the correct alternative in each of the following:
If − 3x\[+\]17\[< -\]13, then
Mark the correct alternative in each of the following:
If \[\left| x + 2 \right|\]\[\leq\]9, then
Mark the correct alternative in each of the following:
The inequality representing the following graph is
Solve 1 ≤ |x – 2| ≤ 3.
Solve for x, |x + 1| + |x| > 3.
If |x + 3| ≥ 10, then ______.
If x ≥ –3, then x + 5 ______ 2.
A company manufactures cassettes. Its cost and revenue functions are C(x) = 26,000 + 30x and R(x) = 43x, respectively, where x is the number of cassettes produced and sold in a week. How many cassettes must be sold by the company to realise some profit?
A solution of 9% acid is to be diluted by adding 3% acid solution to it. The resulting mixture is to be more than 5% but less than 7% acid. If there is 460 litres of the 9% solution, how many litres of 3% solution will have to be added?
Given that x, y and b are real numbers and x < y, b < 0, then ______.
If x > y and z < 0, then – xz ______ – yz.
If – 2x + 1 ≥ 9, then x ______ – 4.