Final answer:
To determine the values of x that make the inequality 3x+4>5(x+2) true, we need to solve the inequality. The values of x that make the inequality true are all numbers less than -3.
Step-by-step explanation:
To determine the values of x that make the inequality 3x+4>5(x+2) true, we need to solve the inequality.
First, distribute the 5 on the right side: 3x+4>5x+10.
Next, subtract 3x from both sides: 4>2x+10.
Then, subtract 10 from both sides: -6>2x.
Finally, divide both sides by 2 to isolate x: -3>x or x<-3.
Therefore, the values of x that make the inequality true are all numbers less than -3.