Constraint System Math Example 4

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Example 4

medium
Is (3,4)(3, 4) in the feasible region of x+y≤8x + y \leq 8 and x≥2x \geq 2?

Solution

  1. 1
    Check x+y≤8x + y \leq 8: 3+4=7≤83 + 4 = 7 \leq 8 ✓
  2. 2
    Check x≥2x \geq 2: 3≥23 \geq 2 ✓. Both constraints are satisfied.

Answer

Yes, (3,4)(3, 4) is feasible.
A point is in the feasible region if it satisfies every constraint in the system simultaneously.

About Constraint System

A collection of equations and inequalities that must ALL be satisfied simultaneously by the same set of variable values.

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More Constraint System Examples

Example 1 medium

Find all values of [formula] satisfying [formula], [formula], and [formula].

Example 2 hard

A shop sells notebooks for [formula]1. You have $12 and want at least 2 notebooks. How many pens can

Example 3 easy

List the integer solutions of [formula] with [formula] and [formula].

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