Advertisements
Advertisements
प्रश्न
\[\frac{4 + 2x}{3} \geq \frac{x}{2} - 3\]
उत्तर
\[\frac{4 + 2x}{3} \geq \frac{x}{2} - 3\]
\[ \Rightarrow \frac{4 + 2x}{3} - \frac{x}{2} \geq - 3\]
\[ \Rightarrow \frac{8 + 4x - 3x}{6} \geq - 3\]
\[ \Rightarrow 8 + x \geq - 18 \left[ \text{ Multiplying both the sides by 6 } \right]\]
\[ \Rightarrow x \geq - 26 \left[ \text{ Transposing 8 to the RHS } \right]\]
\[\text{ Thus, the solution set of the given inequation is } [ - 26, \infty ) .\]
APPEARS IN
संबंधित प्रश्न
Solve: 12x < 50, when x ∈ R
Solve: 12x < 50, when x ∈ N
Solve: 4x − 2 < 8, when x ∈ Z
3x − 7 > x + 1
\[\frac{2\left( x - 1 \right)}{5} \leq \frac{3\left( 2 + x \right)}{7}\]
\[\frac{x - 1}{3} + 4 < \frac{x - 5}{5} - 2\]
\[\frac{5 - 2x}{3} < \frac{x}{6} - 5\]
\[\frac{4x + 3}{2x - 5} < 6\]
\[\frac{5x - 6}{x + 6} < 1\]
Solve each of the following system of equations in R.
3x − 6 > 0, 2x − 5 > 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.
4x − 1 ≤ 0, 3 − 4x < 0
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.
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
\[\left| x + \frac{1}{3} \right| > \frac{8}{3}\]
Solve \[\frac{\left| x - 2 \right| - 1}{\left| x - 2 \right| - 2} \leq 0\]
Write the solution set of the inequation
\[x + \frac{1}{x} \geq 2\]
Mark the correct alternative in each of the following:
If x is a real number and \[\left| x \right|\]\[<\]5, 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
Mark the correct alternative in each of the following:
The linear inequality representing the solution set given in 
Mark the correct alternative in each of the following:
The solution set of the inequation \[\left| x + 2 \right|\]\[\leq\]5 is
Solve the inequality, 3x – 5 < x + 7, when x is an integer.
Solve the inequality, 3x – 5 < x + 7, when x is a real number.
Solve `(x - 2)/(x + 5) > 2`.
Solve for x, |x + 1| + |x| > 3.
The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then ______.
If |3x – 7| > 2, then x ______ `5/3` or x ______ 3.
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.
If `(-3)/4 x ≤ – 3`, then x ______ 4.
If p > 0 and q < 0, then p – q ______ p.
