# How do you check whether x=3 is a solution to 2x-5<7?

Dec 8, 2014

To check whether x = 3 is a solution to 2x - 5 < 7, you substitute 3 in for x and simplify the solution. If the statement is true then it is a solution. If the statement is false then it is not a solution.

Here is the check:

2x - 5 < 7
2(3) - 5 < 7
6 - 5 < 7
1 < 7 (This reads one is less than seven)

This statement is true and therefore x = 3 is one of the solutions of 2x - 5 < 7.

Since it is an inequality, there are many numbers that are solutions to this inequality, you can solve the inequality.

$2 x - 5 < 7$
$2 x - 5 + 5 < 7 + 5$
$2 x < 12$
$\frac{2 x}{2}$ < $\frac{12}{2}$
$x < 6$

Therefore any number less than 6 will be a solution to 2x - 5 < 7.