Advertisements
Advertisements
प्रश्न
Mark the correct alternative in each of the following:
If \[\frac{\left| x - 2 \right|}{x - 2}\]\[\geq\] then
पर्याय
x\[\in\][2, \[\infty\]
x\[\in\](2, \[\infty\])
x\[\in\](\[-\]\[\infty\] 2)
x\[\in\](\[-\]\[\infty\]2]
उत्तर
\[\frac{\left| x - 2 \right|}{x - 2} \geq 0\]
\[ \Rightarrow x - 2 > 0\]
\[ \Rightarrow x > 2\]
\[ \Rightarrow x \in \left( 2, \infty \right)\]
Hence, the correct option is (b).
APPEARS IN
संबंधित प्रश्न
Solve: 12x < 50, when x ∈ Z
Solve: 12x < 50, when x ∈ N
3x − 7 > x + 1
\[\frac{3x - 2}{5} \leq \frac{4x - 3}{2}\]
\[\frac{x}{5} < \frac{3x - 2}{4} - \frac{5x - 3}{5}\]
\[\frac{5x}{2} + \frac{3x}{4} \geq \frac{39}{4}\]
\[\frac{x - 1}{3} + 4 < \frac{x - 5}{5} - 2\]
\[\frac{4 + 2x}{3} \geq \frac{x}{2} - 3\]
\[\frac{6x - 5}{4x + 1} < 0\]
\[\frac{2x - 3}{3x - 7} > 0\]
\[\frac{4x + 3}{2x - 5} < 6\]
\[\frac{5x - 6}{x + 6} < 1\]
\[\frac{x - 1}{x + 3} > 2\]
\[\frac{x}{x - 5} > \frac{1}{2}\]
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.
11 − 5x > −4, 4x + 13 ≤ −11
Solve each of the following system of equations in R.
\[\frac{2x - 3}{4} - 2 \geq \frac{4x}{3} - 6, 2\left( 2x + 3 \right) < 6\left( x - 2 \right) + 10\]
Solve
\[\left| \frac{3x - 4}{2} \right| \leq \frac{5}{12}\]
Solve \[\frac{\left| x - 2 \right|}{x - 2} > 0\]
Solve \[\frac{1}{\left| x \right| - 3} < \frac{1}{2}\]
Solve
\[\left| \frac{2x - 1}{x - 1} \right| > 2\]
Solve \[\left| 3 - 4x \right| \geq 9\]
Mark the correct alternative in each of the following:
If x and a are real numbers such that a\[>\]0 and \\left| x \right|\]\[>\]a, then
Solve for x, |x + 1| + |x| > 3.
If –x ≤ –4, then 2x ______ 8.
If |x − 1| ≤ 2, then –1 ______ x ______ 3
If |3x – 7| > 2, then x ______ `5/3` or x ______ 3.
Solve for x, the inequality given below.
|x − 1| ≤ 5, |x| ≥ 2
Solve for x, the inequality given below.
4x + 3 ≥ 2x + 17, 3x – 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 is to be kept between 40°C and 45°C. What is the range of temperature in degree fahrenheit, if the conversion formula is F = `9/5` C + 32?
The longest side of a triangle is twice the shortest side and the third side is 2cm longer than the shortest side. If the perimeter of the triangle is more than 166 cm then find the minimum length of the shortest side.
x and b are real numbers. If b > 0 and |x| > b, then ______.
If x < –5 and x > 2, then x ∈ (– 5, 2)
If `(-3)/4 x ≤ – 3`, then x ______ 4.
If – 2x + 1 ≥ 9, then x ______ – 4.
