Question

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

Answer 1

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.

`2x - 5 < 7`
`2x - 5 + 5 < 7 +5`
`2x < 12`
`(2x)/2` < `12/2`
`x < 6`

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