Advertisements
Advertisements
Question
If – 4x ≥ 12, then x ______ – 3.
Solution
If – 4x ≥ 12, then x ≤ – 3.
Explanation:
– 4x ≥ 12
⇒ x ≤ – 3
APPEARS IN
RELATED QUESTIONS
Solve: 12x < 50, when x ∈ R
Solve: −4x > 30, when x ∈ R
Solve: 4x − 2 < 8, when x ∈ R
Solve: 4x − 2 < 8, when x ∈ Z
\[2\left( 3 - x \right) \geq \frac{x}{5} + 4\]
\[\frac{2x + 3}{4} - 3 < \frac{x - 4}{3} - 2\]
\[\frac{5 - 2x}{3} < \frac{x}{6} - 5\]
\[\frac{2x - 3}{3x - 7} > 0\]
\[\frac{7x - 5}{8x + 3} > 4\]
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.
5x − 1 < 24, 5x + 1 > −24
Solve
\[\left| \frac{3x - 4}{2} \right| \leq \frac{5}{12}\]
Solve \[\frac{1}{\left| x \right| - 3} < \frac{1}{2}\]
Solve \[\left| 3 - 4x \right| \geq 9\]
Mark the correct alternative in each of the following:
The linear inequality representing the solution set given in 
Solve the inequality, 3x – 5 < x + 7, when x is an integer.
If `|x - 2|/(x - 2) ≥ 0`, then ______.
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.
`4/(x + 1) ≤ 3 ≤ 6/(x + 1)`, (x > 0)
Solve for x, the inequality given below.
`(|x - 2| - 1)/(|x - 2| - 2) ≤ 0`
Solve for x, the inequality given below.
`-5 ≤ (2 - 3x)/4 ≤ 9`
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?
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 ______.
If |x + 2| ≤ 9, then ______.
State which of the following statement is True or False.
If x < –5 and x < –2, then x ∈ (–∞, –5)
If `(-3)/4 x ≤ – 3`, then x ______ 4.
