Question

look at the verbal statement shown below.
six less than the product of eight and a number, x, is greater than or equal to four times the same number, x.
which inequality can be used to solve for x?
a. $8x - 6 \geq 4x$

b. $6 - 8x \geq 4x$

c. $8(x - 6) \geq 4x$

d. $8(6 - x) \geq 4x$

Explanation:

Step1: Analyze "product of eight and a number, x"

The product of 8 and \( x \) is \( 8x \).

Step2: Analyze "six less than the product"

"Six less than" means we subtract 6 from the product, so it's \( 8x - 6 \).

Step3: Analyze "greater than or equal to four times x"

"Four times \( x \)" is \( 4x \), and the inequality sign is \( \geq \), so combining gives \( 8x - 6 \geq 4x \).

Answer:

A. \( 8x - 6 \geq 4x \)