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Solve for x: 4x+1/2(2x+4) >12

2 Answers

9 votes

Answer: x>2

Explanation:


4x+(1)/(2) (2x+4) > 12

Step 1: Simplify both sides of the inequality through the Distributive Property


4x+(1)/(2) (2x+4) > 12\\4x+((1)/(2))(2x)+((1)/(2))(4) > 12\\4x+x+2 > 12\\5x+2 > 12

Step 2: Subtract 2 from both sides to isolate x


5x+2-2 > 12-2\\5x > 10

Step 3: Divide both sides by 5 to full isolate x


(5x)/(5) > (10)/(5) \\x > 2

User Jamie Starke
by
5.2k points
8 votes

Answer:


x > 2

Explanation:


4x+(1)/(2)(2x+4) > 12 < ==multiply\ the\ \#s\ in\ the\ parenthesis\ first\ using\ (1)/(2)\\\\4x+x+2 > 12 < ==combine\ any\ like\ terms\\\\5x+2 > 12 < ==subtract\ 2\ from\ both\ sides\\-2 \ \ \ \ \ -2\\\\5x > 10 < ==divide\ both\ sides\ by\ 5\\/5 \ \ \ \ /5\\\\x > 2

This means that x can be any value that is greater than 2.

Hope this helps!

User Atrljoe
by
4.7k points