Advertisements
Advertisements
प्रश्न
Solve for x, the inequality given below.
4x + 3 ≥ 2x + 17, 3x – 5 < –2
उत्तर
4x + 3 ≥ 2x + 17
⇒ 4x – 2x ≥ 17 – 3
⇒ 2x ≥ 14
⇒ x ≥ 7 ......(i)
Also,
3x – 5 < –2
⇒ 3x < 3
⇒ x < 1 .....(ii)
Since, equations (i) and (ii) cannot be possible, simultaneously We conclude that x has no solution.
APPEARS IN
संबंधित प्रश्न
Solve: 4x − 2 < 8, when x ∈ R
−(x − 3) + 4 < 5 − 2x
\[\frac{5x}{2} + \frac{3x}{4} \geq \frac{39}{4}\]
\[\frac{2x + 3}{4} - 3 < \frac{x - 4}{3} - 2\]
\[\frac{3}{x - 2} < 1\]
\[\frac{4x + 3}{2x - 5} < 6\]
\[\frac{5x + 8}{4 - x} < 2\]
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.
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 the following system of equation in R.
x + 5 > 2(x + 1), 2 − x < 3 (x + 2)
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.
\[0 < \frac{- x}{2} < 3\]
Solve each of the following system of equations in R.
20. −5 < 2x − 3 < 5
Solve
\[\left| \frac{2x - 1}{x - 1} \right| > 2\]
Solve \[\left| x - 1 \right| + \left| x - 2 \right| + \left| x - 3 \right| \geq 6\]
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 a natural number.
Solve the inequality, 3x – 5 < x + 7, when x is a real number.
Solve the following system of inequalities:
`x/(2x + 1) ≥ 1/4, (6x)/(4x - 1) < 1/2`
Solve for x, the inequality given below.
`(|x - 2| - 1)/(|x - 2| - 2) ≤ 0`
Solve for x, the inequality given below.
|x − 1| ≤ 5, |x| ≥ 2
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.
Given that x, y and b are real numbers and x < y, b < 0, then ______.
If x > y and z < 0, then – xz ______ – yz.
If – 2x + 1 ≥ 9, then x ______ – 4.