English

If a < b and c < 0, then ac ______ bc - Mathematics

Advertisements
Advertisements

Question

If a < b and c < 0, then `a/c` ______ `b/c`.

Fill in the Blanks

Solution

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.

shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Linear Inequalities - Solved Examples [Page 106]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 11
Chapter 6 Linear Inequalities
Solved Examples | Q 15 (iv) | Page 106

RELATED QUESTIONS

Solve: 12x < 50, when  x ∈ Z 


Solve: 12x < 50, when x ∈ N 


Solve: 4x − 2 < 8, when x ∈ N 


3x − 7 > x + 1 


−(x − 3) + 4 < 5 − 2x


\[\frac{x}{5} < \frac{3x - 2}{4} - \frac{5x - 3}{5}\]


\[\frac{2x + 3}{4} - 3 < \frac{x - 4}{3} - 2\]


\[\frac{7x - 5}{8x + 3} > 4\]


Solve each of the following system of equations in R.

x − 2 > 0, 3x < 18 


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.

 10 ≤ −5 (x − 2) < 20 


Solve each of the following system of equations in R. 

20. −5 < 2x − 3 < 5


Solve each of the following system of equations in R. \[\frac{4}{x + 1} \leq 3 \leq \frac{6}{x + 1}, x > 0\]


Solve  \[\frac{\left| x - 2 \right|}{x - 2} > 0\] 


Solve \[\left| x + 1 \right| + \left| x \right| > 3\] 

 


Mark the correct alternative in each of the following: 

If − 3x\[+\]17\[< -\]13, then


Mark the correct alternative in each of the following:
Given that xy and are real numbers and x\[<\]yb\[>\]0, then

 


Mark the correct alternative in each of the following:

\[\left| x - 1 \right|\]\[>\]5, then 


Solve the inequality, 3x – 5 < x + 7, when x is a natural number.


Solve |3 – 4x| ≥ 9.


Solve 1 ≤ |x – 2| ≤ 3.


Solve for x, `(|x + 3| + x)/(x + 2) > 1`.


Solve for x, the inequality given below.

|x − 1| ≤ 5, |x| ≥ 2


If x is a real number and |x| < 3, then ______.


If |x − 1| > 5, then ______.


State which of the following statement is True or False.

If xy < 0, then x < 0 and y < 0


If x < –5 and x > 2, then x ∈ (– 5, 2)


If – 4x ≥ 12, then x ______ – 3.


If x > – 5, then 4x ______ –20.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×