Question

solve for w. 9(w - 18) + 19 > 1.

Explanation:

Step1: Subtract 19 from both sides

To isolate the term with \( w \), we first subtract 19 from both sides of the inequality \( 9(w - 18)+19>1 \). This gives us \( 9(w - 18)+19 - 19>1 - 19 \), which simplifies to \( 9(w - 18)>-18 \).

Step2: Divide both sides by 9

Next, we divide both sides of the inequality \( 9(w - 18)>-18 \) by 9. So, \( \frac{9(w - 18)}{9}>\frac{-18}{9} \), which simplifies to \( w - 18>-2 \).

Step3: Add 18 to both sides

Finally, we add 18 to both sides of the inequality \( w - 18>-2 \). This gives us \( w - 18 + 18>-2 + 18 \), which simplifies to \( w>16 \).

Answer:

\( w > 16 \)