a. Which values from the set {1, 2, 3,4} are solutions of (line _ this > )2x +5) Show your work?

b. which values from the set {1,2,3,4} are solutions of 11 > 2x + 5? Show your work.
How are your answer from parts a and b different?
How can I tell the answers are different if I don't know how to work them.

a. To determine which values from the set {1, 2, 3, 4} are solutions of the equation 2x + 5, we can substitute each value from the set into the equation and see if it holds true.

Substituting 1 into the equation: 2(1) + 5 = 7. Since 7 is not equal to zero, 1 is not a solution.

Substituting 2 into the equation: 2(2) + 5 = 9. Since 9 is not equal to zero, 2 is not a solution.

Substituting 3 into the equation: 2(3) + 5 = 11. Since 11 is not equal to zero, 3 is not a solution.

Substituting 4 into the equation: 2(4) + 5 = 13. Since 13 is not equal to zero, 4 is not a solution.

Therefore, none of the values from the set {1, 2, 3, 4} are solutions of the equation 2x + 5.

b. To determine which values from the set {1, 2, 3, 4} are solutions of the inequality 11 > 2x + 5, we can use the same approach as in part a, by substituting each value from the set into the inequality and checking if it holds true.

Substituting 1 into the inequality: 11 > 2(1) + 5. Simplifying, we have 11 > 7. This statement is true, so 1 is a solution.

Substituting 2 into the inequality: 11 > 2(2) + 5. Simplifying, we have 11 > 9. This statement is true, so 2 is a solution.

Substituting 3 into the inequality: 11 > 2(3) + 5. Simplifying, we have 11 > 11. This statement is false, so 3 is not a solution.

Substituting 4 into the inequality: 11 > 2(4) + 5. Simplifying, we have 11 > 13. This statement is false, so 4 is not a solution.

Therefore, the values 1 and 2 from the set {1, 2, 3, 4} are solutions of the inequality 11 > 2x + 5.

The answers in part a and part b are different because part a asks for solutions of an equation (exact values that satisfy the equation), while part b asks for solutions of an inequality (values that make the inequality true).

If you don't know how to work them, you can determine the difference in answers by looking at the equal sign (=) versus the inequality sign (> or <). If there is an equal sign, it indicates an equation that needs to be satisfied exactly. If there is an inequality sign, it indicates a range of values that make the inequality true.