Question: Question 4, 4.1.9 Part 1 of 2 Other than a no solution set, use interval notation to…

Question 4, 4.1.9

Part 1 of 2

Other than a no solution set, use interval notation to express the solution set and then graph the solution set on a number line.

\[ 7(x + 1) + 4 \geq 6x + 15 \]

Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

A. The solution is \(\boxed{\quad}\) (Type the solution using interval notation)

B. The solution set is \(\emptyset\).

Solution

7(x + 1) + 4 \geq 6x + 15 Distribute 7: 7x + 7 + 4 \geq 6x + 15 Combine like terms: 7x + 11 \geq 6x + 15 Subtract 6x from both sides: x + 11 \geq 15 Subtract 11 from both sides: x \geq 4 The solution expressed in interval notation is: \[ [4, \infty) \]