Help with Solving inequalities?

Question

Hi, I need these inequalities solved i do not know how to do them. Please describe steps used to solve them.

a) 18 ≤ 21 + x

b)-13+ 7y< 1

c) 3k+8≥ 17

d) -13≥ -7w-13

thanks :)

Answer 1

a) 18 ≤ 21 + x

The first step is to subtract 21 from both sides.

-3 ≤ x

That&#039;s the answer. Just try to get x alone.

b)-13+7y&lt;1

First, add 13 to each side.

7y=14

then, divide by 7.

y=14

c) 3k+8≥ 17

First, subtract 8 from each side.

3k≥ 9

Then, divide by 3 on each side.

k≥ 3

d)-13≥ -7w-13

First, add 13 to each side. You always want to find the numbers that are not being multiplied by a variable and try to get them to zero. Then, they are out of the equation.

0≥ -7w

Then divide by -7

0≥ w

Hope this helped. They are really easy once you get a handle on them! Keep trying.

Answer 2

the rule is that u basically consider the &gt; or &lt; or ≤ or ≥  an equal sign:

a) 18 ≤ 21 + x    

       -21≤ -21          

___________  

    -3 ≤ x                  

                        

                                  

b)-13+ 7y&lt; 1                                      

       +13      +13                            

___________                                

     7y &lt; 14                              

divide by 7 on both sides          

      y &lt; 2                              

c)3k+8≥ 17

        - 8    -8

_________

     3k ≥ 9

  divide by 3

       k ≥ 3

d) -13≥ -7w-13

       +13         +13

_______________

     0 ≥ -7w

divide by -7

    0 ≥ w

Answer 3

The other two people gave you the answers, but they both got letter d wrong.

When you multiply or divide by a negative the inequality symbol must be switched.

0 ≥ -7w, after you divide by negative 7 you get

0 is less than or equal to w.