Answer :
To solve the inequality
[tex]$$
13 - r < 82,
$$[/tex]
follow these steps:
1. Subtract 13 from both sides:
Subtracting 13 gives
[tex]$$
13 - r - 13 < 82 - 13,
$$[/tex]
which simplifies to
[tex]$$
-r < 69.
$$[/tex]
2. Multiply both sides by -1:
When multiplying or dividing an inequality by a negative number, the inequality sign reverses. Multiplying by -1, we get
[tex]$$
r > -69.
$$[/tex]
Thus, the solution to the inequality is
[tex]$$
r > -69.
$$[/tex]
Comparing with the given options, the correct answer is option A.
[tex]$$
13 - r < 82,
$$[/tex]
follow these steps:
1. Subtract 13 from both sides:
Subtracting 13 gives
[tex]$$
13 - r - 13 < 82 - 13,
$$[/tex]
which simplifies to
[tex]$$
-r < 69.
$$[/tex]
2. Multiply both sides by -1:
When multiplying or dividing an inequality by a negative number, the inequality sign reverses. Multiplying by -1, we get
[tex]$$
r > -69.
$$[/tex]
Thus, the solution to the inequality is
[tex]$$
r > -69.
$$[/tex]
Comparing with the given options, the correct answer is option A.
