Find the additive and multiplicative inverse of a:
\$ (1/3) a - 6 \$ = 2

Let’s solve for a:

\$ (1/3) a - 6 \$ = 2

Add 6 to both sides to isolate \$(1/3)a\$:

\$ (1/3) a - 6 + 6 = 2 + 6\$

\$ (1/3) a = 8 \$

Multiply both sides by 3 to solve for a:

\$ a = 8 \times 3 \$

a = 24

The additive inverse of

a = -a

Now, the additive inverse of 24 is simply its negative value:

Additive inverse of 24 = - 24

The multiplicative inverse of

\$ a \$ = \$ 1/a \$

Now, the multiplicative inverse of 24 is simply its reciprocal:

Multiplicative inverse of 24 = \$(1/24) \$

This is not correct because it doesn’t correctly identify the additive and multiplicative inverses of the given values

24 and \$(1/24)\$

This option represents - 24 as the additive inverse and \$1/24\$ as the multiplicative inverse. This aligns with our calculations

- 24 and \$(1/24)\$

This option correctly represents - 24 as the additive inverse, but 24 doesn’t represent the multiplicative inverse of a. The correct multiplicative inverse is \$1/24\$

- 24 and \$(24)\$

This option correctly represents - 24 as the additive inverse, but \$1/22\$ doesn’t represent the multiplicative inverse of a. The correct multiplicative inverse is \$1/24\$

- 24 and \$(1/22)\$

Option

B

Can you summarize what you’ve understood in the above steps?