Question

homework 8.6 - two step inequalities with rational numbers
started: jan 20 at 2:01pm
quiz instructions
question 1
1 pts
solve the inequality.
10.2 - x > 20.8
options (partially visible): x < 10.6, x > -10.6, x > 10.6, x < -10.6 (approximate reading from image)

Explanation:

Step1: Isolate the term with $x$

Subtract 10.2 from both sides:
$10.2 - x - 10.2 > 20.8 - 10.2$
$-x > 10.6$

Step2: Solve for $x$

Multiply both sides by -1 (reverse inequality sign):
$x < -10.6$

Answer:

$x < -10.6$ (corresponding to the option: $x < -10.6$)