Advertisements
Advertisements
प्रश्न
Solve each of the following system of equations in R.
\[0 < \frac{- x}{2} < 3\]
उत्तर
\[0 < \frac{- x}{2} < 3\]
\[ \Rightarrow 0 < - x < 6 (\text{ Multiplying throughout by } 2)\]
\[ \Rightarrow 0 > x > - 6 (\text{ Multiplying throughout by } - 1)\]
\[ \Rightarrow x \in ( - 6, 0) \]
\[\text{ Hence, the interval ( - 6, 0) is the solution of the given set of inequations } .\]
APPEARS IN
संबंधित प्रश्न
Solve: 12x < 50, when x ∈ Z
Solve: −4x > 30, when x ∈ Z
3x − 7 > x + 1
3x + 9 ≥ −x + 19
\[2\left( 3 - x \right) \geq \frac{x}{5} + 4\]
\[\frac{x}{5} < \frac{3x - 2}{4} - \frac{5x - 3}{5}\]
\[\frac{5 - 2x}{3} < \frac{x}{6} - 5\]
\[\frac{2x - 3}{3x - 7} > 0\]
\[\frac{1}{x - 1} \leq 2\]
\[\frac{5x - 6}{x + 6} < 1\]
\[\frac{x}{x - 5} > \frac{1}{2}\]
Solve each of the following system of equations in R.
2x − 7 > 5 − x, 11 − 5x ≤ 1
Solve each of the following system of equations in R.
x − 2 > 0, 3x < 18
Solve each of the following system of equations in R.
2x − 3 < 7, 2x > −4
Solve each of the following system of equations in R.
5x − 1 < 24, 5x + 1 > −24
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.
\[\frac{2x - 3}{4} - 2 \geq \frac{4x}{3} - 6, 2\left( 2x + 3 \right) < 6\left( x - 2 \right) + 10\]
Solve each of the following system of equations in R.
\[\frac{7x - 1}{2} < - 3, \frac{3x + 8}{5} + 11 < 0\]
Solve each of the following system of equations in R. \[\frac{4}{x + 1} \leq 3 \leq \frac{6}{x + 1}, x > 0\]
Solve
\[\left| x + \frac{1}{3} \right| > \frac{8}{3}\]
Solve \[\frac{\left| x + 2 \right| - x}{x} < 2\]
Solve \[\frac{\left| x - 2 \right| - 1}{\left| x - 2 \right| - 2} \leq 0\]
Solve \[1 \leq \left| x - 2 \right| \leq 3\]
Mark the correct alternative in each of the following:
Given that x, y and b are real numbers and x\[<\]y, b\[>\]0, then
Mark the correct alternative in each of the following:
The solution set of the inequation \[\left| x + 2 \right|\]\[\leq\]5 is
Mark the correct alternative in each of the following:
If \[\frac{\left| x - 2 \right|}{x - 2}\]\[\geq\] then
Mark the correct alternative in each of the following:
If \[\left| x + 3 \right|\]\[\geq\]10, then
Solve the inequality, 3x – 5 < x + 7, when x is a natural number.
Solve the inequality, 3x – 5 < x + 7, when x is an integer.
Solve for x, `(|x + 3| + x)/(x + 2) > 1`.
The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then ______.
If a < b and c < 0, then `a/c` ______ `b/c`.
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?
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?
If –3x + 17 < –13, then ______.
If |x + 2| ≤ 9, then ______.
State which of the following statement is True or False.
If x < –5 and x < –2, then x ∈ (–∞, –5)
