Determine the value of x that makes the inequality true:
$35> -5(4-x)$

Answer

Expert–verified

Hide Steps

Answer

Final Answer: The value of $x$ that makes the inequality true is $x > \boxed{11}$.

Steps

Step 1 ：The inequality is $35>-5(4-x)$.

Step 2 ：Distribute the $-5$ to both terms inside the parentheses to get $35>-20+5x$.

Step 3 ：Rearrange the inequality to isolate $x$ on one side, resulting in $5x>55$.

Step 4 ：Divide both sides by 5 to solve for $x$, giving $x>11$.

Step 5 ：Final Answer: The value of $x$ that makes the inequality true is $x > \boxed{11}$.