Advertisements
Advertisements
प्रश्न
Solve: −4x > 30, when x ∈ R
उत्तर
\[- 4x > 30\]
\[ \Rightarrow x < - \frac{30}{4} (\text{ Dividing both the sides by } - 4)\]
\[ \Rightarrow x < - \frac{15}{2}\]
\[(i) x \in R\]
\[\text{ Then, the solution of the given inequation is } \left( - \infty , - \frac{15}{2} \right) . \]
APPEARS IN
संबंधित प्रश्न
Solve: 4x − 2 < 8, when x ∈ Z
x + 5 > 4x − 10
\[\frac{3x - 2}{5} \leq \frac{4x - 3}{2}\]
\[\frac{2\left( x - 1 \right)}{5} \leq \frac{3\left( 2 + x \right)}{7}\]
\[\frac{4 + 2x}{3} \geq \frac{x}{2} - 3\]
\[\frac{1}{x - 1} \leq 2\]
\[\frac{7x - 5}{8x + 3} > 4\]
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.
\[\frac{2x - 3}{4} - 2 \geq \frac{4x}{3} - 6, 2\left( 2x + 3 \right) < 6\left( x - 2 \right) + 10\]
Solve each of the following system of equations in R.
\[\frac{7x - 1}{2} < - 3, \frac{3x + 8}{5} + 11 < 0\]
Solve
\[\left| \frac{3x - 4}{2} \right| \leq \frac{5}{12}\]
Solve
\[\left| \frac{2x - 1}{x - 1} \right| > 2\]
Write the solution set of the inequation
\[x + \frac{1}{x} \geq 2\]
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:
If \[\frac{\left| x - 2 \right|}{x - 2}\]\[\geq\] then
Solve the inequality, 3x – 5 < x + 7, when x is an integer.
Solve 1 ≤ |x – 2| ≤ 3.
The cost and revenue functions of a product are given by C(x) = 20x + 4000 and R(x) = 60x + 2000, respectively, where x is the number of items produced and sold. How many items must be sold to realise some profit?
Solve the following system of inequalities:
`x/(2x + 1) ≥ 1/4, (6x)/(4x - 1) < 1/2`
If a < b and c < 0, then `a/c` ______ `b/c`.
If |3x – 7| > 2, then x ______ `5/3` or x ______ 3.
If p > 0 and q < 0, then p + q ______ p.
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?
The water acidity in a pool is considerd normal when the average pH reading of three daily measurements is between 8.2 and 8.5. If the first two pH readings are 8.48 and 8.35, find the range of pH value for the third reading that will result in the acidity level being normal.
In drilling world’s deepest hole it was found that the temperature T in degree celcius, x km below the earth’s surface was given by T = 30 + 25(x – 3), 3 ≤ x ≤ 15. At what depth will the temperature be between 155°C and 205°C?
If |x + 2| ≤ 9, then ______.
If x < –5 and x > 2, then x ∈ (– 5, 2)
If – 4x ≥ 12, then x ______ – 3.
If `2/(x + 2) > 0`, then x ______ –2.
If x > – 5, then 4x ______ –20.
If p > 0 and q < 0, then p – q ______ p.
If |x + 2| > 5, then x ______ – 7 or x ______ 3.
