Question

Boxes of Christmas decorations are being placed on a shelf at Target. The shelf currently has 730 pounds of stuff on it and can hold up to 2,000 pounds. Each box of Christmas decorations weighs 9 pounds.

Answer 1

• The inequality is

`730+9x\le2000`

• The solution to the inequality is

`x\le141.1`

• The solution means the shelf can hold at most, 141.1 boxes of Christmas decorations.

Step-by-step explanation:

Given that each box of Christmas decoration weighs 9 pounds, and the shelf can hold up to 2,000 pounds. Since there is 730 pounds already on the shelp, let x represent the number of extra boxes that the shelf can take.

The following inequality is correct:

`730+9x\le2000`

Solving this, first,

Subtract 730 from both sides of the inequality

`\begin{gathered} 730+9x-730\le2000-730 \\ 9x\le1270 \end{gathered}`

Divide both sides by 9

`\begin{gathered} (9x)/(9)\le(1270)/(9) \\ \\ x\le141.1111\approx141.1 \end{gathered}`

The solution means the shelf can hold at most, 141.1 boxes of Christmas decorations.