This is my third time posting this question, which is my fault. my teacher does not want me to use substitution rules.

using rules of inference and no substitution, prove that:

–p +-q) + (pλq)

and:

(5l + d) + (byd)

How do you determine whether a relationship represented as as graph is linear or nonlinear

Agroup of randomly selected members of the foodies food club were asked to pick their favorite type of food. the bar graph below shows the results of the survey. there are 244 members in the foodies.

City l has a temperature of −3 °f. city m has a temperature of −7 °f. use the number line shown to answer the questions: number line from negative 8 to positive 8 in increments of 1 is shown. part a: write an inequality to compare the temperatures of the two cities. (3 points) part b: explain what the inequality means in relation to the positions of these numbers on the number line. (4 points) part c: use the number line to explain which city is warmer. (3 points)