Question

solve the inequality and graph the solution.\\( j + 7 < 10 \\)\
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.\
number line with ticks at 0,1,2,3,4,5,6

Explanation:

Step1: Subtract 7 from both sides

To solve the inequality \( j + 7 < 10 \), we subtract 7 from both sides to isolate \( j \). The operation is \( j + 7 - 7 < 10 - 7 \).

Step2: Simplify both sides

Simplifying the left side gives \( j \), and simplifying the right side gives \( 3 \). So we get \( j < 3 \).

For graphing the solution: On the number line, we plot an open circle at 3 (because the inequality is strict, \( j < 3 \) not \( j \leq 3 \)) and draw an arrow to the left to represent all numbers less than 3.

Answer:

The solution to the inequality is \( j < 3 \). For the graph, there is an open circle at 3 and an arrow pointing to the left along the number line.