Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

How do you solve $3x > 21$ ?

Answer
VerifiedVerified
491.4k+ views
Hint:In the question, we are provided with a basic linear equation. In order to solve such questions, we should first rearrange the equation by taking all the constants at one side and all variables at the other side of the equal symbol.

Complete step by step solution:
As per the question, we have to solve the expression into a simple one to get our required answer. The proper solution of any equation is when we put the value of the variable back in the given equation, we can get the both sides of the equation to be equal.
Coming back to the question, solving the expression $3x > 21$
Divide the above expression with three, in order to take the constant terms at one end.
$
\dfrac{{3x}}{3} > \dfrac{{21}}{3} \\
\Rightarrow x > 7 \\
$
This is our required answer.
This statement says that x can take any value greater than $7.$ So, x can be $8,9,10 \ldots \ldots $
Checking the answer by putting the value of x in the statement given in the question.
Taking $x = 8$
$L.H.S = $$3\left( 8 \right) = 24$ which is greater than $21$.
Hence, we had solved the equation correctly.

Note: A standard mathematical equation is when an equality or increment\decrement symbol is in between two algebraic expressions.
Solve the expression carefully. Most people solve such short expressions in a hurry and make silly mistakes.