Question

Which set of values for x makes the inequality 12−x<7 true

Answer 1

Answer:

$\{x:x>5\}$

Step-by-step explanation:

Given

$12 - x < 7$

Required

Values of x that make it true

First: solve the inequality.

$12 - x < 7$

Collect Like Terms

$- x < 7-12$

$- x < -5$

Multiply both sides by -1

$-1 * - x < -5 * -1$

$x > 5$ --- The inequality changes when multiplied by a negative value

So, the solution implies that the value of x is greater than 5 (i.e. 6, 7, 8..)

Hence, the set is:

$\{x:x>5\}$