Advertisements
Advertisements
Question
Solve the inequality, 3x – 5 < x + 7, when x is a whole number.
Solution
We have, 3x – 5 < x + 7
⇒ 3x < x + 12 .....(Adding 5 to both sides)
⇒ 2x < 12 ......(Subtracting x from both sides)
⇒ x < 6 ......(Dividing by 2 on both sides)
Solution set is {0, 1, 2, 3, 4, 5}.
APPEARS IN
RELATED QUESTIONS
Solve: 12x < 50, when x ∈ R
\[\frac{x - 1}{3} + 4 < \frac{x - 5}{5} - 2\]
\[\frac{4 + 2x}{3} \geq \frac{x}{2} - 3\]
\[\frac{1}{x - 1} \leq 2\]
\[\frac{5x + 8}{4 - x} < 2\]
\[\frac{x - 1}{x + 3} > 2\]
Solve each of the following system of equations in R.
1. x + 3 > 0, 2x < 14
Solve each of the following system of equations in R.
x − 2 > 0, 3x < 18
Solve the following system of equation in R.
\[\frac{2x + 1}{7x - 1} > 5, \frac{x + 7}{x - 8} > 2\]
Solve
\[\left| x + \frac{1}{3} \right| > \frac{8}{3}\]
Solve \[\frac{\left| x - 2 \right|}{x - 2} > 0\]
Solve \[\frac{1}{\left| x \right| - 3} < \frac{1}{2}\]
Solve \[1 \leq \left| x - 2 \right| \leq 3\]
Solve \[\left| 3 - 4x \right| \geq 9\]
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 x is a real number and \[\left| x \right|\]\[<\]5, then
Solve the inequality, 3x – 5 < x + 7, when x is a real number.
The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then ______.
If |x + 3| ≥ 10, then ______.
Solve for x, the inequality given below.
4x + 3 ≥ 2x + 17, 3x – 5 < –2
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?
Given that x, y and b are real numbers and x < y, b < 0, then ______.
x and b are real numbers. If b > 0 and |x| > b, then ______.
If |x − 1| > 5, then ______.
State which of the following statement is True or False.
If x < –5 and x < –2, then x ∈ (–∞, –5)