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Solve the inequality: x+7 < 4 or 7-x < 1 Please show all work!

Solve the inequality: x+7 < 4 or 7-x < 1 Please show all work!
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Solve the inequality: x+7 < 4 or 7-x < 1 Please show all work!

User Simon Knight
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2 Answers

2 votes

Explanation:

all work is pictured and shown

Solve the inequality: x+7 < 4 or 7-x < 1 Please show all work!-example-1
User Ivarg
by
8.0k points
6 votes

Answer:


\large\boxed{x<-3\ or\ x>6}

Explanation:


x+7<4\qquad\text{subtract 7 from both sides}\\\\x+7-7<4-7\\\\x<-3\\\\7-x<1\qquad\text{subtract 7 from both sides}\\\\7-7-x<1-7\\\\-x<-6\qquad\text{change the signs}\\\\x>6

Solve the inequality: x+7 < 4 or 7-x < 1 Please show all work!-example-1
User Manish Patel
by
8.0k points
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