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How do you solve \[4t-5>11?\]

Answer
VerifiedVerified
463.2k+ views
Hint: For solving this question you should know about the general mathematical calculation of expressions. In this problem it is asked to find the values of t. And this can be solved by general addition and submission of any numbers or terms on both sides. As we can say any term is added or subtracted as a form of zero.

Complete step-by-step solution:
According to our question it is asked to us to find the value of t if the equation is \[4t-5>11\].
Now, as we know that if we want to solve any equation or any expression then we can add any term as a form of zero. It means that there will be addition and submission of the same term with the same signs if we are adding or subtracting that from both sides of an equation. And if we add in only one side of the equation then we add and subtract the same term with one negative and one positive sign.
So, if we want to solve our question then we will add 5 on both sides that will make it easy.
So, if we will add 5 both sides, then:
\[\begin{align}
  & \Rightarrow 5+4t-5>11+5 \\
 & \Rightarrow 4t>16 \\
\end{align}\]
So, as we can see here that both the sides will be reduced after adding 5.
Now, for solving this, we will divide both sides with 4,
So, \[\dfrac{4t}{4}>\dfrac{16}{4}\]
If we solve this step:
\[\Rightarrow t>4\]
So, the expression will be \[t>4\].

Note: While solving this type of question we have to always add or subtract the term which will make the question. And if the variables of higher order then two we will make the higher ordered term to add or subtract in the equation.