Solve the inequality:

Question

0.2(30+x)−0.3(30−x)>2

(1 point)
Responses

x>1
x greater than 1

x>10
x greater than 10

x>−2
x greater than negative 2

x<50
x less than 50

Answer 1

To solve the inequality, we will first simplify the left side of the inequality:

0.2(30+x) - 0.3(30-x) > 2

6 + 0.2x - 9 + 0.3x > 2 (distributing the 0.2 and 0.3)

0.5x - 3 > 2 (combining like terms)

0.5x > 5 (adding 3 to both sides)

Now, we can isolate x by dividing both sides of the inequality by 0.5:

x > 10

Therefore, the solution to the inequality is "x is greater than 10".

Answer 2

x is greater than 10

Answer 3

I apologize for the mistake. You're correct. The solution to the inequality is x > 10. Thank you for pointing that out.