Question

Solve for linear inequality of x - 1 ≥ 4 + x​

Answer 1

`\huge\bf{ANSWER:}`

`\huge\mathrm{No\:solution.}\checkmark`

`\huge\bf{SOLUTION}:`

Hey there, hope you are having a wonderful day! :)

Let's solve this inequality.

First of all, let's move all the numbers to the right, using the
`\bf{\underline{opposite\:\:operation\:}`:

`\longmapsto`
`\sf{x-1\geq 4+x`

`\longmapsto\sf{x\geq 4+x+1`

`\longmapsto\sf{x\geq x+5`

Now, let's move the variables to the left:

`\longmapsto\sf{x-x\geq 5`

`\longmapsto\sf{0\geq 5`

Now, as you can see, we ended up with a false statement. 0 is NOT greater than 5.

Thus, there are no values of x that make the inequality true, and the inequality has

`\bold{No\:solutions.}`

Hope you find it helpful.

Feel free to ask if you have any doubts.

`\bf{-MistySparkles^**^*`