This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Define the variables as given in the problem. Let x be the number of shirts of type A. Let y be the number of shirts of type B. Step 2: Formulate the first inequality based on the total number of shirts. "The total number of shirts must not exceed 400." This means the sum of type A and type B shirts must be less than or equal to 400. x + y 400 Step 3: Formulate the second inequality based on the comparison of types A and B. "He has to supply more of type A than of type B." This means the number of type A shirts must be strictly greater than the number of type B shirts. x > y Step 4: Formulate the third inequality based on the maximum number of type A shirts. "He must supply at most 300 of type A." This means the number of type A shirts must be less than or equal to 300. x 300 Step 5: Formulate the fourth inequality based on the minimum number of type B shirts. "and at least 80 of type B." This means the number of type B shirts must be greater than or equal to 80. y 80 The four inequalities are: 1. x + y 400 2. x > y 3. x 300 4. y 80 The four inequalities are: x + y & 400 \\ x &> y \\ x & 300 \\ y & 80 Last free one today — make it count tomorrow, or type /upgrade for unlimited.