Use a graphing calculator to estimate the solution set of the equation. Round to the nearest hundredth.
-7(x + 1) = 45.00
A) {1.96}
B) {0.96}
C) {6.41}
D) {2.96}

Question

Quizplus · Accepted Answer

Solving the equation 7(x + 1) = 45, we first distribute the 7 to get 7x + 7 = 45. Subtracting 7 from both sides gives 7x = 38. Dividing both sides by 7 gives x = 38/7, which simplifies to approximately 5.43. However, there seems to be a mistake in my calculation or interpretation of the choices provided, as none of the options match this result. Let's correct the approach: Solving the equation correctly, 7(x + 1) = 45 simplifies to x + 1 = 45 / 7, which further simplifies to x + 1 = 6.43. Subtracting 1 from both sides gives x = 5.43. It appears there was an error in my initial explanation, and none of the provided choices accurately reflect this corrected calculation. Given the corrected calculation, the explanation should focus on accurately solving the equation step by step, but it seems there was a misunderstanding in the application of the solution to the provided choices. The correct approach to solve the equation was outlined, but the conclusion was mistakenly aligned with the provided options, indicating a need to reassess the solution or the interpretation of the question based on the provided choices.

Use a Graphing Calculator to Estimate the Solution Set of the Equation