Question

State whether the value for the unknown makes inequalities

74/e < 12

Answer 1

Yes

Explanation:

74/e < 12

Since e is in the denominator, e can not be 0.

If e > 0,

74/e < 12

74 < 12e

e > 74/12

e < 37/6

If e < 0,

(When you multiply by e, which is a negative value, inequality reverses)

74 > 12e

e < 74/12

e < 37/6

Answer 2

37/6 < e or e<0

Explanation:

74/e < 12

Multiply each side by e

74/e *e < 12*e

74 <12e

Divide each side by 12

74/12 <12e/12

37/6 < e

If e is less than 0, the inequality will flip

74/e *e > 12*e

Divide each side by 12

74/12 >12e/12

37/6 > e

But we limited it to less than 0

0 >e