Advertisements
Advertisements
प्रश्न
If a < b and c < 0, then `a/c` ______ `b/c`.
उत्तर
If a < b and c < 0, then `a/c` > `b/c`.
Explanation:
if both sides are divided by the same negative quantity, then the sign of inequality is reversed.
APPEARS IN
संबंधित प्रश्न
Solve: 12x < 50, when x ∈ Z
Solve: 12x < 50, when x ∈ N
Solve: 4x − 2 < 8, when x ∈ R
Solve: 4x − 2 < 8, when x ∈ Z
3x − 7 > x + 1
\[\frac{3x - 2}{5} \leq \frac{4x - 3}{2}\]
−(x − 3) + 4 < 5 − 2x
\[\frac{2x + 3}{5} - 2 < \frac{3\left( x - 2 \right)}{5}\]
\[\frac{3}{x - 2} < 1\]
\[\frac{7x - 5}{8x + 3} > 4\]
Solve each of the following system of equations in R.
1. x + 3 > 0, 2x < 14
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.
2x − 3 < 7, 2x > −4
Solve the following system of equation in R.
x + 5 > 2(x + 1), 2 − x < 3 (x + 2)
Solve each of the following system of equations in R.
\[\frac{2x - 3}{4} - 2 \geq \frac{4x}{3} - 6, 2\left( 2x + 3 \right) < 6\left( x - 2 \right) + 10\]
Solve each of the following system of equations in R.
10 ≤ −5 (x − 2) < 20
Solve
\[\left| x + \frac{1}{3} \right| > \frac{8}{3}\]
Solve
\[\left| \frac{3x - 4}{2} \right| \leq \frac{5}{12}\]
Solve \[\frac{1}{\left| x \right| - 3} < \frac{1}{2}\]
Solve the inequality, 3x – 5 < x + 7, when x is a natural number.
Solve `(x - 2)/(x + 5) > 2`.
Solve |3 – 4x| ≥ 9.
If |x + 3| ≥ 10, then ______.
If |3x – 7| > 2, then x ______ `5/3` or x ______ 3.
x and b are real numbers. If b > 0 and |x| > b, then ______.
State which of the following statement is True or False.
If x < –5 and x < –2, then x ∈ (–∞, –5)