Advertisements
Advertisements
प्रश्न
Solve: −4x > 30, when x ∈ Z
उत्तर
\[- 4x > 30\]
\[ \Rightarrow x < - \frac{30}{4} (\text{ Dividing both the sides by } - 4)\]
\[ \Rightarrow x < - \frac{15}{2}\]
\[ x \in Z\]
\[\text{ Then, the solution of the given inequation is } \left\{ . . . . . . . . . . - 9, - 8 \right\} . \]
APPEARS IN
संबंधित प्रश्न
Solve: 12x < 50, when x ∈ R
Solve: 4x − 2 < 8, when x ∈ N
\[\frac{2\left( x - 1 \right)}{5} \leq \frac{3\left( 2 + x \right)}{7}\]
\[\frac{5x}{2} + \frac{3x}{4} \geq \frac{39}{4}\]
\[\frac{2x + 3}{5} - 2 < \frac{3\left( x - 2 \right)}{5}\]
\[\frac{3}{x - 2} < 1\]
\[\frac{1}{x - 1} \leq 2\]
\[\frac{4x + 3}{2x - 5} < 6\]
\[\frac{x - 1}{x + 3} > 2\]
\[\frac{7x - 5}{8x + 3} > 4\]
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.
3x − 6 > 0, 2x − 5 > 0
Solve each of the following system of equations in R.
2x + 5 ≤ 0, x − 3 ≤ 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 each of the following system of equations in R.
20. −5 < 2x − 3 < 5
Solve
\[\left| 4 - x \right| + 1 < 3\]
Solve \[\left| x + 1 \right| + \left| x \right| > 3\]
Mark the correct alternative in each of the following:
\[\left| x - 1 \right|\]\[>\]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 solution set of the inequation \[\left| x + 2 \right|\]\[\leq\]5 is
Solve the inequality, 3x – 5 < x + 7, when x is a natural number.
Solve for x, |x + 1| + |x| > 3.
Solve the following system of inequalities:
`x/(2x + 1) ≥ 1/4, (6x)/(4x - 1) < 1/2`
If x ≥ –3, then x + 5 ______ 2.
If –x ≤ –4, then 2x ______ 8.
If `1/(x - 2) < 0`, then x ______ 2.
If a < b and c < 0, then `a/c` ______ `b/c`.
Solve for x, the inequality given below.
`4/(x + 1) ≤ 3 ≤ 6/(x + 1)`, (x > 0)
Solve for x, the inequality given below.
`1/(|x| - 3) ≤ 1/2`
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?
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?
Given that x, y and b are real numbers and x < y, b < 0, then ______.
If –3x + 17 < –13, then ______.
If x is a real number and |x| < 3, then ______.
If |x − 1| > 5, then ______.
State which of the following statement is True or False.
If xy < 0, then x < 0 and y < 0
If x < –5 and x > 2, then x ∈ (– 5, 2)
If |x + 2| > 5, then x ______ – 7 or x ______ 3.
