Match the inequality to its graph.
5s - 3 + 1 < 8
O A
O B
O C
O D
O B
To match the inequality to its graph, we need to solve the inequality using the steps provided and then compare it to the options given.
1. Start by isolating the variable.
5s - 3 + 1 < 8
5s - 2 < 8
2. Next, perform the necessary operations to solve for 's'.
5s < 8 + 2
5s < 10
3. Divide both sides of the inequality by 5 to isolate 's'.
s < 10/5
s < 2
Therefore, the graph of the inequality s < 2 will be a dotted line (indicating "less than") on the number line, with an open circle at 2, and shading to the left.
Looking at the options provided, we can match the inequality to its graph by comparing the graph to the description provided in Step 3. Unfortunately, we don't have labeled graphs to compare the inequality to, so we cannot determine the correct answer from the given options (A, B, C, D).
To match the inequality to its graph, we need to rewrite the inequality in y < mx + b form, where y represents the left side of the inequality and mx + b represents the right side.
The given inequality is 5s - 3 + 1 < 8. We need to simplify it first.
Combine like terms:
5s - 2 < 8
Next, isolate s by subtracting 2 from both sides:
5s < 10
Divide both sides by 5 to solve for s:
s < 2
Now that we have the inequality in the form y < mx + b, where y represents s, m is the coefficient of s (which is 5), x represents s, and b is 0, we are ready to match it to its graph.
Without specific information about the graph options A, B, C, and D, it is not possible to determine the exact match. However, based on the inequality s < 2, it represents a line with a slope of 5 and a y-intercept of 0. The line will be dotted or dashed, indicating that the boundary value of 2 is not included in the solution set.
You would need to examine the graph options A, B, C, and D, and determine which one represents the line with a slope of 5, a y-intercept of 0, and a dotted or dashed line when s < 2.