Question

Which is a translation of the sentence into an inequality and is it true or false? Eight and one-tenth minus four is greater than or equal to two times two. 8110−4≥2⋅2 , false 4110−4≥2⋅2 , true 8110−4−4≤2⋅2 , false 8110−4≥2⋅2 , true

Answer 1

Answer:

$\frac{81}{10}-4 \geq 2(2)$

true

Step-by-step explanation:

The inequality is equal to

$8\frac{1}{10}-4 \geq 2(2)$

Convert mixed number to an improper fraction

$8\frac{1}{10}=8+\frac{1}{10}=\frac{8*10+1}{10}=\frac{81}{10}$

substitute in the original expression

$\frac{81}{10}-4 \geq 2(2)$

$\frac{81}{10}-4 \geq 4$

Multiply by 10 both sides to remove the fraction

$81-40 \geq 40$

$41 \geq 40$ ----> is true