For any rational number $x$ , $x + (- 1) = - x$ . State whether the statement is true (T) or false (F).

True

No worries! We‘ve got your back. Try BYJU‘S free classes today!

False

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is B False
Verify the given statement
Given, $x + (- 1) = - x$ .
$x + (- 1) = x - 1 \Rightarrow x - 1 \neq - x$
$∴ LHS \neq RHS$
Hence, the statement is False.

Suggest Corrections

Similar questions

Question 43

State whether the following statement is true (T) or false (F).

If $\frac{x}{3} + 1 = \frac{7}{15}, t h e n \frac{x}{3} = \frac{6}{15}$

Question 79

In the following question, state whether the statement is True (T) or False (F):

$(9 x - 51) \div 9$ is x - 51.

Question 60
In the following question, state whether the given statement is true (T) or false (F).
Between any two natural numbers, there is one natural number.

Q. State whether the following statements are true or false. Give reasons for your answers.
For any real number

x, x^{2} \geq 0

3x + 7 is a rational expression. State whether the statement is true or false.

Join BYJU'S Learning Program

For any rational number x, x+(-1)=-x. State whether the statement is true (T) or false (F).

The correct option is B FalseVerify the given statementGiven, x+(-1)=-x.x+(-1)=x-1⇒x-1≠-x∴LHS≠RHSHence, the statement is False.

For any rational number $x$ , $x + (- 1) = - x$ . State whether the statement is true (T) or false (F).

The correct option is B False
Verify the given statement
Given, $x + (- 1) = - x$ .
$x + (- 1) = x - 1 \Rightarrow x - 1 \neq - x$
$∴ LHS \neq RHS$
Hence, the statement is False.