Solve the inequality. Then write the solution set in interval notation, and choose the correct graph. \( 8 x+2+x<1+5 x-15 \) The solution set is \( \square \). (Type your answer in interval notation.)

We start with the inequality:   8x + 2 + x < 1 + 5x – 15 Step 1. Combine like terms on the left:   8x + x = 9x, so the inequality becomes:   9x + 2 < 1 + 5x – 15 Step 2. Simplify the right side:   1 – 15 = –14, so:   9x + 2 < 5x – 14 Step 3. Isolate the x terms. Subtract 5x from both sides:   9x – 5x + 2 < –14   4x + 2 < –14 Step 4. Subtract 2 from both sides:   4x < –16 Step 5. Divide both sides by 4:   x < –4 The solution in interval notation is:   (–∞, –4) Graph Description: On a number line, place an open circle at –4 (to indicate that –4 is not included) and shade the line extending to the left towards –∞.