Advertisements
Advertisements
प्रश्न
If –x ≤ –4, then 2x ______ 8.
उत्तर
If –x ≤ –4, then 2x ≥ 8.
Explanation:
After multiplying both sides by –2, the sign of inequality is reversed.
APPEARS IN
संबंधित प्रश्न
Solve: 12x < 50, when x ∈ N
3x − 7 > x + 1
x + 5 > 4x − 10
−(x − 3) + 4 < 5 − 2x
\[\frac{5x}{2} + \frac{3x}{4} \geq \frac{39}{4}\]
\[\frac{3}{x - 2} < 1\]
\[\frac{4x + 3}{2x - 5} < 6\]
\[\frac{x}{x - 5} > \frac{1}{2}\]
Solve each of the following system of equations in R.
2x − 3 < 7, 2x > −4
Solve each of the following system of equations in R.
3x − 1 ≥ 5, x + 2 > −1
Solve each of the following system of equations in R.
11 − 5x > −4, 4x + 13 ≤ −11
Solve
\[\left| x + \frac{1}{3} \right| > \frac{8}{3}\]
Solve \[\left| x + 1 \right| + \left| x \right| > 3\]
Mark the correct alternative in each of the following:
Given that x, y and b are real numbers and x\[<\]y, b\[>\]0, then
Solve the inequality, 3x – 5 < x + 7, when x is a natural number.
Solve the following system of inequalities:
`x/(2x + 1) ≥ 1/4, (6x)/(4x - 1) < 1/2`
The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then ______.
If x ≥ –3, then x + 5 ______ 2.
Solve for x, the inequality given below.
`4/(x + 1) ≤ 3 ≤ 6/(x + 1)`, (x > 0)
Solve for x, the inequality given below.
|x − 1| ≤ 5, |x| ≥ 2
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.
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?
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 `2/(x + 2) > 0`, then x ______ –2.
If x > – 5, then 4x ______ –20.
If – 2x + 1 ≥ 9, then x ______ – 4.
