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

Sagot :

[tex]\huge\bf{ANSWER:}[/tex]

[tex]\huge\mathrm{No\:solution.}\checkmark[/tex]

[tex]\huge\bf{SOLUTION}:[/tex]

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 [tex]\bf{\underline{opposite\:\:operation\:}[/tex]:

[tex]\longmapsto[/tex][tex]\sf{x-1\geq 4+x[/tex]

[tex]\longmapsto\sf{x\geq 4+x+1[/tex]

[tex]\longmapsto\sf{x\geq x+5[/tex]

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

[tex]\longmapsto\sf{x-x\geq 5[/tex]

[tex]\longmapsto\sf{0\geq 5[/tex]

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

[tex]\bold{No\:solutions.}[/tex]

Hope you find it helpful.

Feel free to ask if you have any doubts.

[tex]\bf{-MistySparkles^**^*[/tex]