5. Write the solutions of each inequality in set builder notation.*
2y+5< 21
{yl y is a real number; y< 8}
{yly is a real number; y > 8}
{yly is a real number; y > 10}
{yly is a real number; y > 10}
{y | y is a real number; y < 8}
{y | y is a real number; y > 8}
{y | y is a real number; y > 10}
pick one
{y | y is a real number; y < 8}
To solve the inequality 2y + 5 < 21, we need to isolate the variable y.
First, subtract 5 from both sides:
2y + 5 - 5 < 21 - 5
2y < 16
Next, divide both sides by 2 to solve for y:
2y/2 < 16/2
y < 8
Therefore, the set builder notation for the solution is:
{y | y is a real number; y < 8}
For the inequality y > 8, the solution is simply all real numbers greater than 8. This can be expressed in set builder notation as:
{y | y is a real number; y > 8}
For the inequality y > 10, the solution is all real numbers greater than 10. This can be expressed in set builder notation as:
{y | y is a real number; y > 10}