Advertisements
Advertisements
Question
If `2/(x + 2) > 0`, then x ______ –2.
Solution
If `2/(x + 2) > 0`, then x > –2.
Explanation:
If `2/(x + 2) > 0`
⇒ x > –2
APPEARS IN
RELATED QUESTIONS
Solve: 12x < 50, when x ∈ N
Solve: −4x > 30, when x ∈ R
Solve: −4x > 30, when x ∈ Z
Solve: 4x − 2 < 8, when x ∈ N
3x − 7 > x + 1
\[\frac{3x - 2}{5} \leq \frac{4x - 3}{2}\]
\[\frac{x - 1}{x + 3} > 2\]
Solve each of the following system of equations in R.
2x − 7 > 5 − x, 11 − 5x ≤ 1
2x + 6 ≥ 0, 4x − 7 < 0
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.
11 − 5x > −4, 4x + 13 ≤ −11
Solve the following system of equation in R.
\[\frac{2x + 1}{7x - 1} > 5, \frac{x + 7}{x - 8} > 2\]
Solve \[\frac{1}{\left| x \right| - 3} < \frac{1}{2}\]
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 real number.
Solve `(x - 2)/(x + 5) > 2`.
Solve |3 – 4x| ≥ 9.
Solve 1 ≤ |x – 2| ≤ 3.
Solve for x, `(|x + 3| + x)/(x + 2) > 1`.
If `|x - 2|/(x - 2) ≥ 0`, then ______.
If x ≥ –3, then x + 5 ______ 2.
If `1/(x - 2) < 0`, then x ______ 2.
Solve for x, the inequality given below.
|x − 1| ≤ 5, |x| ≥ 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?
If x < 5, then ______.
If |x − 1| > 5, then ______.
If – 4x ≥ 12, then x ______ – 3.