The solution of the inequality is;
-6 < c < -3¹/₃
We are given the equation;
22 < −3c + 4 < 14
- The first step will be to use subtraction property of equality to subtract 4 from all the three sides of the inequality.
22 - 4 < −3c + 4 - 4 < 14 - 4
⇒ 18 < −3c < 10
- The second step will be to make use of division property of equality by dividing all three sides of the inequality by -3;
18/-3 < −3c/-3 < 10/-3
⇒ -6 < c < -3¹/₃
Thus, in conclusion, the inequality solution is; -6 < c < -3¹/₃
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