Question

Consider the following inequalities given in the first column. Match these inequalities with their corresponding solutions.
s+5≥6s+5\geq 6s+5≥6
s+4≤7s+4\leq 7s+4≤7
s+1≤7s+1\leq 7s+1≤7
s2≥3\frac{s}{2}\geq 3
2
s
​
≥3
Drag & Drop the answer
s≤3s\leq 3s≤3
s≤6s\leq 6s≤6
s≥1s\geq 1s≥1
s≥6s\geq 6s≥6

Answer 1

Let's solve each inequality one by one and then match them with the corresponding solutions.

1. **Inequality:** \( s + 5 \geq 6 \)
- Subtract 5 from both sides:
\[ s \geq 6 - 5 \]
\[ s \geq 1 \]

2. **Inequality:** \( s + 4 \leq 7 \)
- Subtract 4 from both sides:
\[ s \leq 7 - 4 \]
\[ s \leq 3 \]

3. **Inequality:** \( s + 1 \leq 7 \)
- Subtract 1 from both sides:
\[ s \leq 7 - 1 \]
\[ s \leq 6 \]

4. **Inequality:** \( \frac{s}{2} \geq 3 \)
- Multiply both sides by 2:
\[ s \geq 2 \times 3 \]
\[ s \geq 6 \]

Now, we can match the inequalities with their corresponding solutions:

- \( s + 5 \geq 6 \) → \( s \geq 1 \)
- \( s + 4 \leq 7 \) → \( s \leq 3 \)
- \( s + 1 \leq 7 \) → \( s \leq 6 \)
- \( \frac{s}{2} \geq 3 \) → \( s \geq 6 \)

Here are the matches:

1. **\( s + 5 \geq 6 \)** → **\( s \geq 1 \)**
2. **\( s + 4 \leq 7 \)** → **\( s \leq 3 \)**
3. **\( s + 1 \leq 7 \)** → **\( s \leq 6 \)**
4. **\( \frac{s}{2} \geq 3 \)** → **\( s \geq 6 \)**

So the final matching is:
- \( s + 5 \geq 6 \) → \( s \geq 1 \)
- \( s + 4 \leq 7 \) → \( s \leq 3 \)
- \( s + 1 \leq 7 \) → \( s \leq 6 \)
- \( \frac{s}{2} \geq 3 \) → \( s \geq 6 \)