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2x+2<-(x+4.1)+7 i don’t get this please help

User Circusbred
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1 Answer

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21 votes

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Answer:

x < 0.3

Explanation:

This is similar to a 3-step linear equation, but you need to do a little simplification first.

2x +2 < -(x +4.1) +7

2x +2 < -x -4.1 +7 . . . . . . eliminate parentheses (distribute the minus sign)

2x +2 < -x +2.9 . . . . . . . . combine constant terms

From this point, we can solve the equation exactly the same way we would for a 3-step linear equation.

3x +2 < 2.9 . . . . . . . . add x to both sides to get all x-terms in one place

3x < 0.9 . . . . . . . . . . . subtract 2 from both sides to get x-terms alone

x < 0.3 . . . . . . . . . . . divide both sides by 3 to get x alone

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Additional comment

The only difference from solution of linear equations comes when you multiply or divide by a negative number. In those cases, the inequality symbol reverses. Consider ...

-1 > -2

1 < 2 . . . . . . multiplying both sides by -1 reversed the order

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Of course, arithmetic can happen with integers, decimal numbers, fractions, mixed numbers, or numbers in scientific notation. The sign and form of the numbers is irrelevant to the solution process.

User Jbunting
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