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

Answer

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Answer

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

Steps

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

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

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

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 $x > 11$ .