Using Logic to solve Problems 1. How would you solve the following problem? Which problem-solving strategies
would you need to use?
Simon, Tessa, and Rick are getting lunch together. They want to order different
things so they can try each others' meals. They narrow down their options to a
hamburger, a hot dog, a chicken sandwich, chicken wings, and vegetarian
nachos. They order 3 of the meals. Simon does not get chicken. Tessa's meal
has a bun on it. How many different lunch combinations could they have
ordered?
VATAL

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

answer: it depends on what the tax percentage

86

step-by-step explanation:

find the area of the triangle then multiply by 2 then add the area of the parollelegram multiplied by 2