Question

Solve the equation and find the value of x for which that equation is true:
$2x+6<12$

Answer 1

Hint: Before solving this problem there are some rules that should be kept in mind, whenever we multiply or divide the equation by any negative number then the less than and greater than sign changes. So first we will take x in one side and all other numbers in the opposite side and after that we will get some range of x for which this equation is true and that is our final answer.

Complete step by step answer:
Now let’s start solving,
$2x+6<12$
Taking 6 on the opposite side we get,
2x < 12 – 6
Now we know that 12 – 6 = 6, using this in the above equation we get,
2x < 6
Now we will divide by 2 on both sides, as 2 is a positive number so the sign of less than and greater than will not change.
x < 3
Therefore, we have got the rage of x for which the given equation is true that is x < 3.
Hence, this is the correct answer.

Note: The rules that are given must be kept in mind as there are chances of making mistakes in positive, negative sign or less than, greater than sign. So after solving just try to put some values of x in the range that we get and see if it’s true or not.