length of a piece of wood must measure between 15 and 17 centimeters and the width must measure between 9 and 11 centimeters. write a system of linear inequalities to represent the possible dimensions of the wood,in inches,given that 1 inch equals 2.54 centimeters. plz do help with this one. I have no idea
15 <= 2.54W <= 17
9 <= 2.54L <= 11
To represent the possible dimensions of the wood in inches, we can use the following system of linear inequalities:
Let the length of the wood be represented by "L" in inches, and the width be represented by "W" in inches.
First, let's convert the given centimeter ranges to inches. Since 1 inch equals 2.54 centimeters, we can divide the given centimeter ranges by 2.54 to convert them to inches:
Length range: 15 cm to 17 cm
15 cm ÷ 2.54 = 5.91 inches
17 cm ÷ 2.54 = 6.69 inches
Width range: 9 cm to 11 cm
9 cm ÷ 2.54 = 3.54 inches
11 cm ÷ 2.54 = 4.33 inches
Now, we can write the system of linear inequalities based on these converted ranges:
5.91 inches ≤ L ≤ 6.69 inches
3.54 inches ≤ W ≤ 4.33 inches
This system of linear inequalities represents the possible dimensions of the wood in inches.