Solve the inequality for w: w + 2 ≤ 12
Understand the Problem
The question is asking us to solve an inequality for the variable 'w'. We need to isolate 'w' on one side of the inequality by performing algebraic operations. In this case, we'll subtract 2 from both sides of the inequality to find the solution for 'w'.
Answer
$w \le 10$
Answer for screen readers
$w \le 10$
Steps to Solve
- Write the given inequality
The given inequality is: $$ w + 2 \le 12 $$
- Subtract 2 from both sides of the inequality
To isolate $w$, subtract 2 from both sides: $$ w + 2 - 2 \le 12 - 2 $$
- Simplify the inequality
Simplify both sides of the inequality: $$ w \le 10 $$
$w \le 10$
More Information
The solution $w \le 10$ means that any value of $w$ that is less than or equal to 10 will satisfy the original inequality $w + 2 \le 12$. For example, if $w = 5$, then $5 + 2 = 7$, which is less than or equal to 12.
Tips
A common mistake is forgetting to perform the same operation on both sides of the inequality, which would lead to an incorrect solution. Also, when multiplying or dividing by a negative number, you must flip the inequality sign, but that is not needed in this problem.
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