QUESTION IMAGE
Question
order thinking for the expression 5 - 5x to have a negative
what must be true about the value of x?
ssessment practice
bought g gallons of gasoline for $2.85 per gallon and c cans of oil for
5 per can.
part a
what expression can be used to determine the
total amount joe spent on gasoline and oil?
part b
joe spent $15. he bought 2 cans of oil. about how
many gallons of gasoline did he buy?
a 2.5
b 3
c 3.5
d 4
the outside temperature was 73°f at 1 p.m. and decreases at a rate of
1.5°f each hour. what expression can be used to determine the
temperature h hours after 1 p.m.?
Step1: Analyze the expression for negative value
We want \(5 - 5x<0\). Subtract 5 from both sides: \(5 - 5x-5<0 - 5\), which simplifies to \(- 5x<-5\).
Step2: Solve the inequality for x
Divide both sides by - 5. Remember that when dividing an inequality by a negative number, the inequality sign flips. So \(\frac{-5x}{-5}>\frac{-5}{-5}\), which gives \(x > 1\).
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The value of \(x\) must be greater than 1.