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

Question

asked Mar 24, 2023 171k views

1 Answer

Ordnungswidrig · Answer 1 · 2023-03-29T01:48:59+0000

$\huge\bf{ANSWER:}$

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

$\huge\bf{SOLUTION}:$

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.

$\bf{-MistySparkles^**^*$