Select the postulate of equality or inequality that is illustrated. 3 + 2 5 and 3 + 2 = 5 are not both true. addition postulate of inequality the multiplication postulate of inequality the symmetric postulate of equality the transitive postulate of equality comparison postulate the reflexive postulate of equality the transitive postulate of inequality

comparison postulate.

Explanation.

The given inequality might be either 3 + 2 > 5 or 2 + 2 < 5. The reasoning and the result is the same for effects of this question.

The comparison postulate states that one and only one of the following statements is true: a = b, a > b, a < b.

This is, a is either equal, or greater than or less than b, but not equal and greater, or equal and less, or greater and less. One and only one of them is true.

So, since  3 + 2 = 5, the comparison postulate assures that the inequality cannot both be true. This is 3 + 2 is equal to 5, and not greater or less than 5.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

step-by-step explanation: