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How do you solve the inequality #3 - 2x > 7#?

Answer 1

Avery Alexander

#x<-2#

#3-2x>7#

Subtract 3 from both sides #-2x>4#

Divide by 2 #-x>2#

Multiply by -1 #x<-2#

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Answer 2

Kennedy Adams

Transpose terms

#3-7>2x#

#-4>2x#

Divide by 2 both sides

#-2>x# or if you want #x< -2#

The solution are all number smaller than -2

In interval form #(-oo,-2)# (excluded -2 because simbol is "<" estrictly)

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Answer 3

Eva Abramson

To solve the inequality 3 - 2x > 7, first subtract 3 from both sides: 3 - 3 - 2x > 7 - 3. Simplify: -2x > 4. Then, divide both sides by -2. Since dividing by a negative number flips the inequality sign, we get: (-2x) / (-2) < 4 / (-2). Simplify: x < -2. 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 the inequality #3 - 2x &gt; 7#?

How do you solve the inequality #3 - 2x > 7#?