Which values from the set {1,2,3,4,5}make the inequality true n+2<6

1, 2, and 3.

Step-by-step explanation:

To make the inequality true you would have to make sure that the total for the side with the unknown variable is less than 6, so individually plug them all in and make sure the statement remains true

Your equations need to be the same but the only difference would be that you plug in a different number where n, the unknown variable, would be:

1+2<6

Yes! That one works because 3 is less than 6.

2+2<6

This one also works because 4 is not greater than 6.

3+2<6

3 also works because 5 is less than 6.

4+2<6

This does not work because when you use 4, your total will be 6, and 6 is not less than 6, they are equal.

5+2<6

When you plug in 5 into the equation, your total will be 7<6, which is not a true statement, it should look like 7>6 if it were true.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1