Q. Which of the following are solutions to the inequality below? Select all that apply.k<−1Multi-select Choices:(A)k=−9(B)k=−3(C)k=−12(D)k=−7
Understand the inequality: Understand the inequality.The inequality k < -1 means that we are looking for values of k that are less than negative one.
Evaluate choices: Evaluate each choice against the inequality.We will plug in each value of k from the choices into the inequality to see if it makes the inequality true.Step 3: Check choice (A) k=−9.Plug in k=−9 into the inequality k < -1.-9 < -1This is true because −9 is less than −1.
Check choice (A): Check choice (B) k=−3.Plug in k=−3 into the inequality k < -1.-3 < -1This is true because −3 is less than −1.
Check choice (B): Check choice (C) k=−12.Plug in k=−12 into the inequality k < -1.-12 < -1This is true because −12 is less than −1.
Check choice (C): Check choice (D) k=−7. Plug in k=−7 into the inequality k < -1. -7 < -1 This is true because −7 is less than −1.
Check choice (D): Compile the correct choices.All the choices (A), (B), (C), and (D) make the inequality true, so they are all solutions to the inequality k < -1.