Answer:
To solve the inequality 1/2n + 3 < 5 on a line graph, we can follow these steps:
1. Subtract 3 from both sides of the inequality to isolate the term with "n":
1/2n + 3 - 3 < 5 - 3
1/2n < 2
2. Multiply both sides of the inequality by 2 to get rid of the fraction:
2 * (1/2n) < 2 * 2
n < 4
Now, on a number line, we represent the solution as a shaded region. Since the inequality is strict (<), we use an open circle to represent n = 4 (not inclusive) and shade the region to the left of 4 to represent all values of n that are less than 4.
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0 1 2 3 4 5
In this case, the shaded region represents the values of n that satisfy the inequality 1/2n + 3 < 5.
Answer: n < 4.
Step-by-step explanation:
Step 1: Subtract 3 from both sides of the inequality to isolate the term with n.
1/2n + 3 - 3 < 5 - 3
1/2n < 2
Step 2: Multiply both sides of the inequality by 2 to eliminate the fraction.
2 * (1/2n) < 2 * 2
n < 4
The solution to the inequality is n < 4.
On a number line graph, we can represent this solution by shading all the numbers less than 4. We can use an open circle at 4 to indicate that 4 is not included in the solution set.
Here's how it would look on a number line:
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0 1 2 3 4 5 6
The shaded region is to the left of the open circle at 4.
Therefore, the solution to the inequality 1/2n + 3 < 5 on a line graph is
