Answer:
13,000 ≤ x ≤ 23,000
Explanation:
Let the amount left in their budget for everything else = x
Cost of the cabinets that they want = $12,000.
Therefore, total budget = 12,000+x
Since they want to spend between $25,000 and $35,000, the inequality representing this situation is:
[tex]25,000\leq12,000+x\leq35,000[/tex]We solve for x.
[tex]\begin{gathered} 25,000\leq12,000+x\leq35,000\text{ (Subtract 12,000)} \\ 25,000-12,000\leq12,000-12,000+x\leq35,000-12,000 \\ 13,000\leq x\leq23,000 \end{gathered}[/tex]They have between 13,000 to 23,000 left in their budget for everything else
