Answer:
c > 9
Step-by-step explanation:
To solve the inequality, we would have to get it into one of these four forms:
where n is a constant.
2c/3 + 1 > 7
Subtract 1 from both sides to remove the "+1" on the left side.
2c/3 > 7 - 1
Simplify.
2c/3 > 6
Multiply both sides by 6 to remove the "/3" on the left side.
2c > 6 · 3
Simplify.
2c > 18
Divide both sides by 2 to remove the coefficient of "2" on the left side.
c > 18/2
Simplify.
c > 9
c > 9 is in the form c > n, where n is 8. c > 9 would be the solution.
c > 9
I hope this helps. :)
The solution of the given inequality is c > 9
From the question,
The given inequality is 2c/3+1>7
Before solving, let us write the given inequality properly
The given inequality written properly is
[tex]\frac{2c}{3}+1 > 7[/tex]
Now, to solve an inequality means to determine the value of the variable (in this case, c) that satisfies the inequality.
To determine the value of c in the inequality
[tex]\frac{2c}{3}+1 > 7[/tex]
First, subtract 1 from both sides
[tex]\frac{2c}{3}+1-1 > 7-1[/tex]
This becomes
[tex]\frac{2c}{3}> 6[/tex]
Now, multiply both sides by 3
[tex]3 \times \frac{2c}{3}> 6 \times 3[/tex]
[tex]2c > 18[/tex]
Now, divide both sides by 2
[tex]\frac{2c}{2}>\frac{18}{2}[/tex]
∴ c > 9
Hence, the solution of the given inequality is c > 9
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