The quotient of five times a number 7 is no more than 10

Question

asked Oct 25, 2022 170k views

1 Answer

Nvvetal · Answer 1 · 2022-10-30T15:55:43+0000

Answer:

$x \ge3.5$

Explanation:

First, write the given in the form of a mathematical equation rather than words. I'll call the mystery number given in the question
:

$(5*7)/(x) \leq 10$

Simplify:

$(35)/(x) \leq 10$

Solve for x:

$(35)/(x) *x\leq 10*x$

Simplify the fraction:

$35\leq 10x$

Divide by 10 to isolate x:

$(35)/(10) \leq x$

Flip the equation around to make it easier to read:

$x \ge (35)/(10)$

Simplify the fraction:

$x \ge (7)/(2)$ or
$x \ge3.5$