i dont understand this.... help?

Question

r+7>3
3r-5>r+7
4h+7<1
d+1<-1
2w+4>19-w
-6p>24
5w>-30
v+4<8-v
x/2 <-2
4c>10
2(z+8)<10
-3t +10 <7
3b+9>21
5-2x>11
5f+13<18
2-3k<-10
4+2n>10

whats the answer?

Answer 1

Find the value of r

r + 7 > 3

r + 7 - 7 = 3 - 7

r = - 4

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Find the vale of r

3r - 5 > r + 7

3r - 5 - r > r + 7 - r

2r - 5 > 7

2r - 5 + 5 > 7 + 5

2r > 12

2r / 2 > 12 / 2

r > 12 / 2

r > 6

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find the value of h

4h + 7 < 1

4h + 7 - 7 < 1 - 7

4h < - 6

4h / 4 < 6 / 4

h < 6 / 4

h < 1 2/ 4

h < 1 1/2

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Find the value of d

d + 1 < - 1

d + 1 - 1 < - 1 - 1

d < - 2

- - - - - - - - -s-

Answer 2

This doesn't look like one question though.
Inequalities are not very difficult especially if u understand equations. > means greater than and < less than
r+7>3 means an unknown number r is added to 7 but still less than 3
i) r+7>3 subtract 7 from both sides gives
r+7-7>3-7
r>-4

ii)3r-5>r+7 grouping like terms
3r-r>7+5
2r>12
r>6

iii)4h+7<1
4h<1-7
4h<-6
h<-3/2

iv)d+1<-1
d<-1-1
d<-2

v)2w+4>19-w
2w+w>19-4
3w>15
w>5

keep on doing that will help you if you have problems

Answer 3

if you are trying to find r then do your working thinking of the > or < sign as being an = sign and just rearrange then put the correct sign back in at the end. The only time the sign 'flips' ('<' becomes '>' and '>' becomes '<') is when you multiply or divide by a negative number

r+7>3 , r>3-7, r>-4

3r-5>r+7, 3r-r>7+5, 2r>12, r>6 and so on