Final answer:
B. x<,-6The correct solution to the inequality 4x + 6 < -6 is x < -3, and none of the provided answer options are correct.
Step-by-step explanation:
The solution to the inequality 4x + 6 < -6 is x < -3. None of the provided options A, B, C, or D are correct.
To solve the inequality, you first subtract 6 from both sides to get 4x < -12. Then, you divide both sides by 4, which leads to x < -3. This process involves applying the rules of inequalities and the properties of arithmetic operations, excluding multiplication or division by negative numbers which would reverse the inequality sign.The solution to the inequality 4x + 6 < -6 is x < -3.
Explanation: To find the solution, we need to isolate the variable x. First, subtract 6 from both sides of the inequality, giving 4x < -12. Then, divide both sides by 4 to get x < -3.To check the solution, you can pick a value less than -3, such as -4. Plugging this value into the inequality, we get 4(-4) + 6 < -6, which simplifies to -10 < -6. Since this is true, we can conclude that x < -3 is a valid solution.