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How do you solve the inequality #x - 1 > 2#?

Answer 1

Eli Assouline

#x>3#

Given: #x-1>2#.

Add #1# to both sides to isolate #x#.

#x-color(red)cancelcolor(black)1+color(red)cancelcolor(black)1>2+1#

#x>3#

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Answer 2

Kennedy Adams

#x>3#

Let's just pretend that the inequality symbol is an equal sign. So, we have the equation

#x-1=2#

Let's solve this. Add #1# to both sides of the equation. We get

#x=3#

Now, replace the equal sign with an inequality sign.

#x>3#

Solving for an inequality is exactly like solving a normal equation (unless diving by a negative number, then the sign flips). So, #x# is any value from #4# and above.

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Answer 3

Nathan Axel

To solve the inequality ( x - 1 > 2 ), you add 1 to both sides to isolate x, which gives you ( x > 3 ). So, the solution to the inequality is ( x > 3 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you solve the inequality #x - 1 &gt; 2#?

How do you solve the inequality #x - 1 > 2#?