9514 1404 393
Answer:
x < 0.3
Step-by-step 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.
