SOLUTION: Write an inequality for each relationship. Solve each inequality Four more than twice a number is greater than two-thirds of the number

Question 223784: Write an inequality for each relationship. Solve each inequality
Four more than twice a number is greater than two-thirds of the number
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Four more than twice a number is greater than two-thirds of the number
written as:
2x + 4 > x
:
Subtract 4 from both sides:
2x > x - 4
:
subtract x from both sides
2x - x > -4
:
which is
x - x > -4
:
x > -4
:
Multiply both sides by 3 to get rid of the denominator
4x > 3(-4)
4x > -12
:
Divide both sides by 4
x >
x > -3
:
:
Check solution with a value that is greater than -3, say -2
2(-2) + 4 > (-2)
-4 + 4 >
0 > x; that's true
:
Check solution with a value that is less than -3, say -4
2(-4) + 4 > (-4)
-8 + 4 >
-4 > x; that's not rue
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