Final Answer:
The inequality from part a implies that 2x - 5 < 3x + 2. Solving this inequality yields x > -7.
Step-by-step explanation:
The given inequality, 2x - 5 < 3x + 2, can be solved step by step to find the range of values for x that satisfy the inequality.
First, subtract 2x from both sides, resulting in -5 < x + 2. Then, subtract 2 from both sides to obtain -7 < x. The final answer is x > -7, meaning that any value of x greater than -7 satisfies the inequality.
In summary, by performing algebraic operations to isolate x, we have determined that the values of x satisfying the given inequality lie to the right of -7 on the number line. This is confirmed by the final answer x > -7, which succinctly captures the solution to the inequality.