6
algebra

Which inequality is equivalent to 0.2x+0.5>1.30.2x + 0.5 > 1.3?

A

x>4x > 4

B

x<4x < 4

C

x>0.4x > 0.4

D

x<0.4x < 0.4

Correct Answer: A

Choice A is the correct answer. Solve the decimal inequality.

  1. Subtract 0.5: 0.2x>1.30.50.2x > 1.3 - 0.5, giving 0.2x>0.80.2x > 0.8
  2. Divide by 0.2: x>0.80.2x > \frac{0.8}{0.2}
  3. Simplify: x>4x > 4

?�� Strategic Tip: You can also multiply by 10 first: 2x+5>132x>8x>42x + 5 > 13 \rightarrow 2x > 8 \rightarrow x > 4.

Choice B is incorrect because it reverses the inequality direction. Choice C is incorrect because it incorrectly divides 0.8 by 2 instead of 0.2, or makes a decimal place error. Choice D is incorrect because it combines wrong value and wrong direction.