Now that you have an additional $300, revise your inequality from part A of

Question

Task 2 to reflect your new spending limit. Solve this inequality and graph the
solution on a number line. Explain what your solution means in terms of the
situation.
50 ≤ 420

Answer 1

To revise the inequality with the new spending limit, we subtract $300 from each side:

50 - $300 ≤ 420 - $300

-250 ≤ 120

Now, let's solve the inequality:

-250 ≤ 120

Since -250 is less than 120, the inequality is true.

To graph the solution on a number line, we mark a point on -250 and shade to the right until we reach 120. The filled-in dot represents -250, and the line shade represents the solution set.

Explanation:
This solution means that with the new spending limit of $420 and an additional $300, we can spend any amount of money up to $120 and still be within our limit.