How Do You Solve a Word Problem Using an Inequality Where You're Multiplying Positive Fractions?

Ingrid plans on making her bridge 42 inches long
'h' is a variable representing 'Height'
Ingrid's father says the length of the bridge should not be less than three-fifths of the height
Multiplying by the reciprocal of '3/5' will allow us to solve for 'h'
42•5/3 = 70
Since we multiplied by a positive number, the inequality symbol stays the same
A bridge height of 70 inches or less will make Ingrid's bridge stable enough

1. 'h' is our variable to represent the bridge's 'height'
1. 'h' is our variable to represent the bridge's 'height'
1. 'h' is our variable to represent the bridge's 'height'
2. The length of the bridge is 42 inches
1. 'h' is our variable to represent the bridge's 'height'
1. 'h' is our variable to represent the bridge's 'height'
2. The length of the bridge is 42 inches
1. 'h' is our variable to represent the bridge's 'height'
2. The length of the bridge is 42 inches
1. 'h' is our variable to represent the bridge's 'height'
2. The length of the bridge is 42 inches
3. (3/5)h ≤ 42
1. 'h' is our variable to represent the bridge's 'height'
2. The length of the bridge is 42 inches
3. (3/5)h ≤ 42
1. 'h' is our variable to represent the bridge's 'height'
2. The length of the bridge is 42 inches
3. (3/5)h ≤ 42
1. 'h' is our variable to represent the bridge's 'height'
1. The reciprocal of '3/5' is '5/3'
1. 'h' is our variable to represent the bridge's 'height'
2. 42•5/3 = 70
1. If we multiplied by a negative number, the inequality symbol will have to be reversed
1. If we had multiplied by a negative number, the inequality symbol would have been reversed
1. 'h' is our variable to represent the bridge's 'height'
2. 42•5/3 = 70
1. 42•5/3 = 70

Ingrid’s homework is to build a bridge out of pasta. Her architect father told her that a stable pasta bridge is one where three fifths of the height is no more than the length. If Ingrid’s is planning to make her bridge 42 inches long, how tall could it be to remain stable?