Question

Solve for x -12 ≤ 44+ x

Answer 1

`\large \boxed{\mathrm{All \ real \ numbers}}`

Explanation:

`x -12 \leq 44+ x`

Subtract x from both parts.

`x -12 -x\leq 44+ x-x`

`-12\leq 44`

This is true.

The value of
`x` is all real numbers.

Answer 2

x can be all real numbers

Explanation:

x - 12 ≤ 44 + x

Subtract x from both sides.

-12 ≤ 44

This statement is true, so the inequality is true for all values of x.

Now let's see how this makes sense. Look at the original inequality.

x - 12 ≤ 44 + x

Rewrite as:

x - 12 ≤ x + 44

What does there inequality mean? Subtract 12 from a number, and compare that with adding 44 to the same number. Of course, a number minus 12 is always less than the same number plus 44. It makes sense that this inequality is true for all values of x.