Question

which inequality describes all solutions to ( 5(3 - x) < -2x + 6 )?
a. ( x < -9 )
b. ( x > 3 )
c. ( x < -3 )
d. ( x > 7 )

Explanation:

Step1: Expand left-hand side

$5(3 - x) = 15 - 5x$
So the inequality becomes: $15 - 5x < -2x + 6$

Step2: Move x terms to one side

Add $5x$ to both sides:
$15 < 3x + 6$

Step3: Isolate constant terms

Subtract 6 from both sides:
$15 - 6 < 3x$
$9 < 3x$

Step4: Solve for x

Divide both sides by 3:
$\frac{9}{3} < x$
$3 < x$

Answer:

B. $x>3$