A quarter of five less than x is no more than a third of five more than x.
Which of the following inequalities fits the description above?
x−14×5≤x+13×5
14(x−5)≤13(x+5)
14(5−x)≤13(5+x)
14×5−x≤13×5+x
i messed up on it and went to fix it realizing I had to make another post. not trying to be impatient just really need and want help.
So where's the answer bruh???
To solve this problem, let's break it down step by step:
1. Start by translating the given statement into an equation: "A quarter of five less than x is no more than a third of five more than x."
- A quarter of five less than x: (1/4)(x - 5)
- A third of five more than x: (1/3)(x + 5)
2. Now, we need to represent the comparison "is no more than." In mathematical terms, it means the inequality symbol "<=" which represents "less than or equal to."
3. Putting it all together, the equation becomes:
(1/4)(x - 5) <= (1/3)(x + 5)
4. Let's multiply both sides of the inequality by 12 (the least common multiple of 4 and 3) to get rid of the fractions:
3(x - 5) <= 4(x + 5)
Now, let's compare this equation to the given options:
Option A: x - 14 × 5 ≤ x + 13 × 5
Option B: 14(x - 5) ≤ 13(x + 5)
Option C: 14(5 - x) ≤ 13(5 + x)
Option D: 14 × 5 - x ≤ 13 × 5 + x
Comparing them, we see that Option B: 14(x - 5) ≤ 13(x + 5) matches the equation we derived earlier. Therefore, the correct inequality is:
14(x - 5) ≤ 13(x + 5)
impatient much?
See your earlier post.