Answer:
-1<x<7
Step-by-step explanation:
We need to solve each inequality and then from the interval of numbers they both have in common (doing this because of the 'and').
x-2<5
Add 2 on both sides:
x<5+2
Simplify:
x<7
These are values of x that are less than 7.
x+7>6
Subtract 7 on both sides:
x>6-7
Simplify:
x>-1
These are values of x greater than -1.
So the values they have in common are the numbers in between -1 and 7.
That is x<7 and x>-1.
You can also write it as -1<x<7.
Maybe you need a graph to convince you more.
○~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~○
‐-------------(-1)------------------------(7)-----------------
So where you see both graphs is the solution:
○~~~~~~~~~~~~~~○
‐-------------(-1)------------------------(7)-----------------
they must sell at least 200 choc bars
c=choc bars
2.5c>or=500
divide both sides by 2.5
c>or=200
Answer:
72 feet
Step-by-step explanation:
you'll have to trust me ;)
First work out (5/2)³ by cubing both the numerator and denominator to give: 125/8
then work out (3/4)² by squaring both the numerator and denominator to give: 9/16
then divide 125/8 by 9/16
using the stay-change-flip method of division:
the first term stays the same, the divide becomes multiply and the second fraction is flipped upside down.
so:
125/8 x 16/9 =2000/72
then just divide 2000 by 72 to give: 27.78 to 2 d.p
therefore the greatest whole number than 27.78 is 27.
4 + 2x = 12
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Take away 4 from both sides:
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2x = 8
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Divide by 2 on both sides:
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x = 4
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Answer: x = 4
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