17. Solve the inequality. Express the solution set in set-builder notation and interval notation. Graph the solution set on a real number line. -3(x + 5) > -3 Choose the correct graph below that is the solution set to the inequality. O A. +H -9 В. -6 -3 3 6 9 -9 -6 -3 9 OC. D. -6 -3 3 -9 -6 -3 3 O E. F. -9 -3 3 6 9 -6 -3 3
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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![**Problem 17.**
Solve the inequality. Express the solution set in set-builder notation and interval notation. Graph the solution set on a real number line.
\[
-3(x + 5) \geq -3
\]
**Solution:**
First, distribute the -3:
\[
-3x - 15 \geq -3
\]
Add 15 to both sides:
\[
-3x \geq 12
\]
Divide both sides by -3 (and remember to flip the inequality sign):
\[
x \leq -4
\]
**Set-builder notation:** \(\{ x \, | \, x \leq -4 \} \)
**Interval notation:** \((-\infty, -4]\)
**Graphs Explanation:**
- **A:** The arrow starts at 5 and points right, open at 5.
- **B:** The arrow starts at -4 and points left, closed at -4.
- **C:** No arrow, open at 5.
- **D:** The arrow starts at -4 and points right, open at -4.
- **E:** A line with arrows at both ends, spanning from -9 to 9.
- **F:** The arrow starts at -4 and points right, closed at -4.
The correct graph is **B**: It visually represents all numbers less than or equal to -4, with a closed circle at -4, and the line extends to the left indicating all smaller numbers.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faebfce49-547b-4778-84f2-e34e1d4fd7ce%2Fa9949311-30f3-4bfd-83fc-533a1975d67e%2Frvy6i8_processed.png&w=3840&q=75)
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