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How do you solve #-6 > -2x + -10#?

Answer 1

The answer to this inequality is #x > -2# or #]-2, +oo[#

This is a first order inequality, which can be solved just like an equality. The only difference, is that you need to switch signs when you divide by a negative number. #-6 > -2x-10# #4>-2x# #-2 -2#

#x in ]-2, +oo[#

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Answer 2

Eva Adamson

To solve the inequality ( -6 > -2x + -10 ), first add 10 to both sides to isolate the variable term:

[ -6 + 10 > -2x ]

Simplify:

[ 4 > -2x ]

Now, divide both sides by -2. Remember, when dividing by a negative number, the inequality sign flips:

[ \frac{4}{-2} < x ]

Simplify:

[ -2 < x ]

Therefore, the solution to the inequality is ( x > -2 ).

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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 #-6 &gt; -2x + -10#?

How do you solve #-6 > -2x + -10#?