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How do you solve #2(x + 7)> 6#?

Answer 1

Kennedy Adams

#x> -4#

Solving an inequality is similar to solving an equation.

#2(x+7)>6#

Divide both sides by 2

#=>x+7>3#

Subtract 7 from both sides:

#=>x+7-7>3-7#

#=>x> -4#

This means that the #x# can be any number greater than #-4#. And, #x# cannot be equal to #-4# or any number lesser than #-4#.

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Answer 2

Savannah Anderson

To solve the inequality (2(x + 7) > 6), follow these steps:

Distribute the 2 on the left side of the inequality: (2x + 14 > 6)
Subtract 14 from both sides to isolate the term involving (x): (2x > 6 - 14) (2x > -8)
Divide both sides by 2 to solve for (x): (x > \frac{-8}{2}) (x > -4)

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Answer 3

Avery Alexander

To solve the inequality 2(x + 7) > 6, follow these steps:

Distribute 2 across the parentheses: 2x + 14 > 6
Subtract 14 from both sides of the inequality: 2x > -8
Divide both sides by 2: x > -4

Therefore, the solution to the inequality is x > -4.

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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 #2(x + 7)&gt; 6#?

How do you solve #2(x + 7)> 6#?