State whether the statements are True or False- If 4x - 7 - 11- then x - 4- - Maths Q-A

Given equation is 4x 7=11.On solving the above equation, we get;4x=11+70ex0ex⇒ 4x=180ex0ex⇒x=18/40ex0ex⇒x=9/2Since 9/2 4Therefore the given statement is false. ...

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Standard VI

Mathematics

Uses of Ratios and Proportions

State whether...

Question

State whether the statement is true or false:
If $4 x - 7 = 11$ , then $x = 4$

True

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False

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Solution

The correct option is B False
Given equation is $4 x - 7 = 11$ .
On solving the above equation, we get;
$4 x = 11 + 7 \Rightarrow 4 x = 18 \Rightarrow x = \frac{18}{4} \Rightarrow x = \frac{9}{2}$
Since $\frac{9}{2} \neq 4$
Therefore the given statement is false.

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State whether the statement is true or false:If 4x-7=11, then x=4

The correct option is B FalseGiven equation is 4x-7=11.On solving the above equation, we get;4x=11+7⇒4x=18⇒x=184⇒x=92Since 92≠4Therefore the given statement is false.

State whether the statement is true or false:
If $4 x - 7 = 11$ , then $x = 4$

The correct option is B False
Given equation is $4 x - 7 = 11$ .
On solving the above equation, we get;
$4 x = 11 + 7 \Rightarrow 4 x = 18 \Rightarrow x = \frac{18}{4} \Rightarrow x = \frac{9}{2}$
Since $\frac{9}{2} \neq 4$
Therefore the given statement is false.