Question

which inequality is true?
a (\frac{10}{3}<sqrt{10})
b (-\frac{1}{8}>-\frac{1}{3})
c (150% > 2)
d (-0.07> - 0.7)

Explanation:

Step1: Evaluate Option A

Calculate $\frac{10}{3} \approx 3.333$, $\sqrt{10} \approx 3.162$. So $3.333 < 3.162$ is false.

Step2: Evaluate Option B

Convert to decimals: $-\frac{1}{8} = -0.125$, $-\frac{1}{3} \approx -0.333$. So $-0.125 < -0.333$ is false.

Step3: Evaluate Option C

Convert percentage to decimal: $150\% = 1.5$. So $1.5 > 2$ is false.

Step4: Evaluate Option D

Compare negative decimals: $-0.07$ is closer to 0 than $-0.7$, so $-0.07 > -0.7$ is true.

Answer:

D. $-0.07 > -0.7$