\( 50+5 p \geq 85 \) Suppose Jerome reads the following numbers of pages each day. Will he meet his goal of reading at least 85 pages by the end of the day on Friday? If Jerome reads 6 pages each day, he ? meet his goal. If Jerome reads 7 pages each day, he ? meet his goal. If Jerome reads 8 pages each day, he ?

Let's analyze whether Jerome will meet his goal of reading at least **85 pages** by the end of Friday using the inequality: \[ 50 + 5p \geq 85 \] Here: - **50** represents the pages Jerome has already read. - **\(5p\)** represents the pages he plans to read over **5 days** (Monday to Friday), with **\(p\)** being the number of pages he reads each day. Let's solve the inequality for **\(p\)**: \[ 50 + 5p \geq 85 \\ 5p \geq 85 - 50 \\ 5p \geq 35 \\ p \geq 7 \] This means Jerome needs to read **at least 7 pages each day** to meet his goal. Now, let's evaluate the different scenarios: 1. **If Jerome reads 6 pages each day (\(p = 6\)):** \[ 50 + 5(6) = 50 + 30 = 80 \] \[ 80 \geq 85 \quad \text{(False)} \] **Result:** Jerome **will not** meet his goal. 2. **If Jerome reads 7 pages each day (\(p = 7\)):** \[ 50 + 5(7) = 50 + 35 = 85 \] \[ 85 \geq 85 \quad \text{(True)} \] **Result:** Jerome **will** meet his goal. 3. **If Jerome reads 8 pages each day (\(p = 8\)):** \[ 50 + 5(8) = 50 + 40 = 90 \] \[ 90 \geq 85 \quad \text{(True)} \] **Result:** Jerome **will** meet his goal. **Summary:** - **6 pages/day:** He **will not** meet his goal. - **7 pages/day:** He **will** meet his goal. - **8 pages/day:** He **will** meet his goal.