Advertisements
Advertisements
प्रश्न
Mark the correct alternative in each of the following:
If x is a real number and \[\left| x \right|\]\[<\]5, then
विकल्प
(a) x\[\geq\]5
(b) \[-\]5\[<\]x\[<\]5
(c) x\[\leq\]\[-\]5
(d) \[-\]5\[\leq\]x\[\leq\]5
उत्तर
If x is a real number.
\[\left| x \right|\]\[<\]5
⇒\[-\]5\[<\]x\[<\]5
Hence, the correct option is (b).
APPEARS IN
संबंधित प्रश्न
Solve: 12x < 50, when x ∈ R
Solve: 12x < 50, when x ∈ Z
Solve: 4x − 2 < 8, when x ∈ N
x + 5 > 4x − 10
−(x − 3) + 4 < 5 − 2x
\[\frac{x}{5} < \frac{3x - 2}{4} - \frac{5x - 3}{5}\]
\[\frac{2x - 3}{3x - 7} > 0\]
\[\frac{3}{x - 2} < 1\]
\[\frac{1}{x - 1} \leq 2\]
\[\frac{5x - 6}{x + 6} < 1\]
\[\frac{x - 1}{x + 3} > 2\]
Solve each of the following system of equations in R.
2 (x − 6) < 3x − 7, 11 − 2x < 6 − x
Solve each of the following system of equations in R.
\[\frac{7x - 1}{2} < - 3, \frac{3x + 8}{5} + 11 < 0\]
Solve the following system of equation in R.
\[\frac{2x + 1}{7x - 1} > 5, \frac{x + 7}{x - 8} > 2\]
Solve each of the following system of equations in R.
20. −5 < 2x − 3 < 5
Solve \[\left| x - 1 \right| + \left| x - 2 \right| + \left| x - 3 \right| \geq 6\]
Solve \[\frac{\left| x - 2 \right| - 1}{\left| x - 2 \right| - 2} \leq 0\]
Solve \[\frac{1}{\left| x \right| - 3} \leq \frac{1}{2}\]
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 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
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 whole number.
Solve |3 – 4x| ≥ 9.
Solve the following system of inequalities:
`x/(2x + 1) ≥ 1/4, (6x)/(4x - 1) < 1/2`
If x ≥ –3, then x + 5 ______ 2.
Solve for x, the inequality given below.
`1/(|x| - 3) ≤ 1/2`
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?
Given that x, y and b are real numbers and x < y, b < 0, then ______.
If x is a real number and |x| < 3, then ______.
If x < –5 and x > 2, then x ∈ (– 5, 2)
If – 4x ≥ 12, then x ______ – 3.
If x > y and z < 0, then – xz ______ – yz.
If |x + 2| > 5, then x ______ – 7 or x ______ 3.
If – 2x + 1 ≥ 9, then x ______ – 4.
