Question

When are x+2 and 3x equal? When are they not equal? Use your diagrams to explain.

a) They are equal when x = 2. They are not equal when x ≠ 2.
b) They are equal when x = -2. They are not equal when x ≠ -2.
c) They are equal when x = 0. They are not equal when x ≠ 0.
d) They are always equal, regardless of the value of x.

Answer 1

The expressions x+2 and 3x are equal when x = 1, and they are not equal for any other value of x.

Step-by-step explanation:

The expressions x+2 and 3x are equal when the values of x make both expressions equal. To find when they are equal, set x+2 equal to 3x and solve for x:

x+2 = 3x
2 = 2x
x = 1

So, x+2 and 3x are equal when x = 1.

On the other hand, x+2 and 3x are not equal when x does not equal 1. Any other value of x would make the two expressions unequal, for example:

For x = 2: 2+2 = 4, but 3(2) = 6
For x = 0: 0+2 = 2, but 3(0) = 0