Question

Persevere with Problems Find values of a, b, and that make each statement true. If no values exist, write not possible.

a. a
b. a b+
c. ca
d. a bc
e. a"

Answer 1

To find values for a, b, and c that make each statement true, we need to use equations and solve for the unknown variables. Let's go through each statement and determine the values that satisfy them.

Step-by-step explanation:

To find values for a, b, and c that make each statement true, we need to use equations and solve for the unknown variables. Let's go through each statement:

1. a. ab: This statement implies that a multiplied by b should equal a. One possible solution is a = 1 and b = 0. Then, 1 x 0 = 0, which satisfies the equation.
2. b. a b+c: This statement suggests that a minus b should equal c. We can set a = 2, b = 1, and c = 1. Then, 2 - 1 = 1, which satisfies the equation.
3. c. a + d: This statement requires that a plus d should equal 0. We can choose a = 2 and d = -2. Then, 2 + (-2) = 0, which satisfies the equation.
4. d. a b: This statement states that a divided by b should equal 1. We can set a = 2 and b = 2. Then, 2 / 2 = 1, which satisfies the equation.
5. e. a": This statement doesn't involve any variables other than a and doesn't provide any specific equation. Therefore, the value of a can be anything. For example, a = 3.

In summary, values that satisfy each statement are: a = 1, b = 0 (for a), a = 2, b = 1, c = 1 (for b), a = 2, d = -2 (for c), a = 2, b = 2 (for d), and a can be any value (for e).