Advertisements
Advertisements
Question
If x < –5 and x > 2, then x ∈ (– 5, 2)
Options
True
False
Solution
This statement is False.
Explanation:
If x < – 5 and x > 2, then x have no value.
APPEARS IN
RELATED QUESTIONS
Solve: 12x < 50, when x ∈ R
Solve: −4x > 30, when x ∈ Z
Solve: −4x > 30, when x ∈ N
\[2\left( 3 - x \right) \geq \frac{x}{5} + 4\]
\[\frac{4 + 2x}{3} \geq \frac{x}{2} - 3\]
\[\frac{2x - 3}{3x - 7} > 0\]
\[\frac{7x - 5}{8x + 3} > 4\]
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.
x − 2 > 0, 3x < 18
Solve each of the following system of equations in R.
2x − 3 < 7, 2x > −4
Solve
\[\left| \frac{2x - 1}{x - 1} \right| > 2\]
Solve \[\frac{\left| x - 2 \right| - 1}{\left| x - 2 \right| - 2} \leq 0\]
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 solution set of the inequation \[\left| x + 2 \right|\]\[\leq\]5 is
Solve the inequality, 3x – 5 < x + 7, when x is a natural number.
Solve the inequality, 3x – 5 < x + 7, when x is a whole number.
Solve the inequality, 3x – 5 < x + 7, when x is an integer.
Solve 1 ≤ |x – 2| ≤ 3.
The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then ______.
If `1/(x - 2) < 0`, then x ______ 2.
If a < b and c < 0, then `a/c` ______ `b/c`.
Solve for x, the inequality given below.
`-5 ≤ (2 - 3x)/4 ≤ 9`
Solve for x, the inequality given below.
4x + 3 ≥ 2x + 17, 3x – 5 < –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 − 1| > 5, 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 x > – 5, then 4x ______ –20.