Question

Greater than or equal to" would be typed >=.
"Less than or equal to" would be typed <=.

1. d - 1 > -3 and d + 2 < 5

2. -3k + 7 > -5 and -7k + 5 < -2

3. -5 < 2y - 3 < 23 (Hint: refer to example 2 in the lesson.)

4. x - 4 < 5 or x + 2 > 15

5. 5x - 4 > 6 or -4x + 5 > 1
May someone please help me!

Answer 1

are you needing to solve the questions 1-5?

Answer 2

yes

Answer 3

Solve and graph the inequalities

Answer 4

so take the first problem:
d - 1 > -3 and d + 2 < 5
treat inequalities like = signs, and just solve for the variable, in our case its d
so d-1=-3, move the -1 over by adding 1 to each side, now it becomes
d=-2, and replace the = sign with the original > sign and...
d>-2

make sense?

Answer 5

kind of. still a little confused.

Answer 6

@DemolisionWolf

Answer 7

@shamil98 can you help me?

Answer 8

d - 1 > -3
add 1 to both sides, you want to isolate d.
d>-2
your graph would be everything to the right of -2 and open circle on -2.

Answer 9

@shamil98 so all I do is add or subtract them?

Answer 10

Yes, you want to isolate d.

Answer 11

for
-3k + 7 > -5
however you have to subtract and divide
-3k >-12
when dividing or multiplying by negative numbers you change the > < symbols
k < 4

Answer 12

okay I'm trying to work it out so I cam make sure I got it

Answer 13

okay I think I got it. them when I graph it, just put it on the points?

Answer 14

you graph inequalities like these on a number line