To represent the situation where Upendo School is taking 120 learners to a game park using type A and type B vans, we first need to define the variables based on the information given:
- Let \( x \) represent the number of learners carried by type A vans.
- Let \( y \) represent the number of learners carried by type B vans.
Since the problem states that the total number of learners being transported is 120, we can express this relationship with the following equation:
\[ x + y = 120 \]
However, if we interpret your request for an inequality, we can consider the scenario where the sum of learners carried by both types of vans must not exceed the total number of learners. This can be written as:
\[ x + y \leq 120 \]
Here, \( x \) and \( y \) must both be non-negative integers, as they represent the number of learners. Therefore, we also need to add the following non-negativity constraints:
\[ x \geq 0 \] \[ y \geq 0 \]
In summary, the inequality that represents the total number of learners the vans carried is:
\[ x + y \leq 120 \quad \text{with} \quad x \geq 0, , y \geq 0 \]
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