Questions: Solve for y and graph the solution.
y-3+y>13 or y+18-5y>18
Transcript text: Solve for $y$ and graph the solution.
\[
y-3+y>13 \text { or } y+18-5 y>18
\]
Solution
Solution Steps
Step 1: Solve the first inequality
We have y−3+y>13.
Combining like terms gives 2y−3>13.
Adding 3 to both sides gives 2y>16.
Dividing both sides by 2 gives y>8.
Step 2: Solve the second inequality
We have y+18−5y>18.
Combining like terms gives −4y+18>18.
Subtracting 18 from both sides gives −4y>0.
Dividing both sides by -4 and flipping the inequality sign gives y<0.
Step 3: Combine the inequalities
We have y>8 or y<0.
Step 4: Graph the solution
The solution is y>8 or y<0.
On the number line, we have an open circle at 0 and an arrow pointing to the left, representing y<0.
We also have an open circle at 8 and an arrow pointing to the right, representing y>8.
Final Answer
The solution is y<0 or y>8. The graph includes an open circle at 0 and an arrow to the left, and an open circle at 8 and an arrow to the right.