Question

1. -7 + 7p < 35

each table represents a relation.
5)

x	y
-7	2
-1	-5
1	3
1	-6
7	-3

each set of ordered pairs represent

Explanation:

1. Solve the inequality \(-7 + 7p<35\):

• Step 1: Add 7 to both sides
• The goal is to isolate the term with the variable \(p\). By adding 7 to both sides of the inequality \(-7 + 7p<35\), we get \(-7+7 + 7p<35 + 7\).
• Simplifying, we have \(7p<42\).
• Step 2: Divide both sides by 7
• To solve for \(p\), we divide both sides of the inequality \(7p<42\) by 7. Since 7 is positive, the direction of the inequality sign remains the same. So, \(\frac{7p}{7}<\frac{42}{7}\).
• Simplifying further, we obtain \(p < 6\).

1. Determine if the relation in the table is a function:

• A relation is a function if for each input value \(x\) there is exactly one - output value \(y\).
• In the given table, when \(x = 1\), \(y\) has two different values: \(y = 3\) and \(y=-6\).
• So, the relation represented by the table is not a function.

Answer:

1. The solution to the inequality \(-7 + 7p<35\) is \(p < 6\).
2. The relation represented by the table is not a function.