Question

Select the values that make the inequality -b < 8 true. Then write an equivalent inequality, in terms of b. a) b > 8; -b > 8 b) b < -8; -b > 8 c) b < -8; -b < 8 d) b > 8; -b < 8

Answer 1

To find the values that make the inequality -b < 8 true, you can start by multiplying both sides of the inequality by -1 to isolate 'b' on one side:

-b < 8

Multiply both sides by -1 (remember to reverse the inequality when multiplying by a negative number):

b > -8

So, the correct equivalent inequality in terms of 'b' is:

b > -8

The answer is option (c): b < -8; -b < 8 is incorrect.

Explanation: