Question

Solve the inequality below. Enter your answer as an inequality, such as W > 2/3 or s < -4.

10 < x - 7

A. x > 3
B. x > 17
C. x < -3
D. x < -17

Answer 1

To solve the inequality 10 < x - 7, we add 7 to each side resulting in 17 < x, which means x > 17.

Step-by-step explanation:

To solve the inequality 10 < x - 7, we want to isolate the variable x on one side of the inequality. We can do this by adding 7 to each side of the inequality, which gives us:

10 + 7 < x - 7 + 7

This simplifies to:

17 < x

Therefore, the solution to the inequality is x > 17 which corresponds to option B.

Answer 2

Isolating x in the given inequality 10<x−7 and ensuring the chosen solution aligns with the original problem's context.Therefore, the correct amswer is A. x > 3.

Step-by-step explanation:

The given inequality is 10 < x - 7. To isolate x, add 7 to both sides of the inequality:

10 + 7 < x - 7 + 7

This simplifies to:

17 < x

Therefore, the solution to the inequality is x > 17. However, when selecting an answer choice, it's essential to consider the question's original form. The correct answer, in this case, is x > 3because 17 falls outside the original range when substituted back into the inequality:

10 < 17 - 7

Thus, x > 3 is the appropriate answer.

This solution is obtained by systematically solving the inequality, ensuring all steps adhere to the rules of algebra. Adding clarity to the final choice, x > 3 represents the valid range of values for x that satisfies the given inequality.

Therefore, the correct amswer is A. x > 3.