Question

Solve the inequality 7y + 2 < 5y + 12

Answer 1

Answer: The solution to the inequality is
`\(y < 5\)`

Explanation:

1. Subtract
`\(5y\)` from both sides of the inequality to get
`\(2y + 2 < 12\)`.

2. Subtract
`\(2\)` from both sides of the inequality to get
`\(2y < 10\)`.

3. Divide both sides of the inequality by
`\(2\)` to get
`\(y < 5\)`.

Answer 2

y < 5

Explanation:

We are given:

7y+2 < 5y+12

The easiest way to solve this is to think of this instead of an inequality, but as a regular equation.

We will take the same steps as you would in a normal equation, combining like terms, subtracting/adding, and the main thing is to isolate the "y" variable on one side of the inequality.

7y+2 < 5y+12

subtract 2 from both sides

7y < 5y + 10

subtract 5y from both sides

2y < 10

divide both sides by 2

y < 5

Hope this helps! :)