10 POINTS Think about two constraints or restrictions that you face every day and write an inequality to represent those. Describe your constraints and give your equation. Example: I must sleep for more than 8 hours a night, let h describe the numbers of hours slept. The inequality is h>8.

If an inequality constraint holds as a strict inequality at the optimal point (that is, does not hold with equality), the constraint is said to be non-binding, as the point could be varied in the direction of the constraint, although it would not be optimal .There are two types of inequality constraints: limits on variables, often called explicit constraints such as Equation.The following table will make you even clear!

Speed limitLegal speed on the highway ≤ 65 miles per hourCredit card

Monthly payment≥ 10% of your balance in that billing cycleText messagingAllowable number of text messages

per month≤ 250Travel timeTime needed to walk from home to school ≥ 18 minutes

DF=9.28 units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The sine of angle of 55 degrees is equal to divide the opposite side to the angle of 55 degrees by the hypotenuse

so

sin(55°)=EF/DF

where

EF is the side opposite to the amgle of 55 degrees

DF is the hypotenuse

we have

EF=7.6 units

substitute

sin(55°)=7.6/DF

DF=7.6/sin(55°)

DF=9.28 units