Questions: Cole wants his tree house to blend in with the leaves around it. He decides to paint it and buys 8 quarts of green paint from the hardware store. He uses some, but not all, of the paint to cover the tree house. Cole saves the remaining green paint for another project. Let u represent the amount of green paint, in quarts, that Cole might have used. Which inequality models the story? u > 8 u ≥ 8 u < 8 u ≤ 8 Graph the inequality that models the story. To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

Cole wants his tree house to blend in with the leaves around it. He decides to paint it and buys 8 quarts of green paint from the hardware store. He uses some, but not all, of the paint to cover the tree house. Cole saves the remaining green paint for another project.

Let u represent the amount of green paint, in quarts, that Cole might have used. Which inequality models the story?
u > 8
u ≥ 8
u < 8
u ≤ 8

Graph the inequality that models the story.
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

Transcript text: Cole wants his tree house to blend in with the leaves around it. He decides to paint it and buys 8 quarts of green paint from the hardware store. He uses some, but not all, of the paint to cover the tree house. Cole saves the remaining green paint for another project. Let $u$ represent the amount of green paint, in quarts, that Cole might have used. Which inequality models the story? $u>8$ $u \geq 8$ $u<8$ $u \leq 8$ Graph the inequality that models the story. To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it. Submit

Solution

Solution Steps

Step 1: Analyze the problem

Cole buys 8 quarts of paint. He uses some, but not all of it. This means the amount he uses, 'u', is less than 8.

Step 2: Choose the inequality

The inequality that represents this situation is u < 8.

Step 3: Graph the inequality

On the number line provided, draw an open circle at 8 (because 'u' cannot be equal to 8) and extend an arrow to the left (representing values less than 8). The number line shown starts at 5 and continues to 15. The solution to the inequality would be represented by an open circle on 8 and an arrow/line pointing to the left stopping at 5.