Answer:
Here, answer is given in form of 4 figure labelled with inequality
Step-by-step explanation:
Given inequality are
A). [tex]2x>(-6)[/tex]
B). [tex]6+x\leq 3[/tex]
C). [tex]x-4<(-7)[/tex]
D). [tex]-x-5\leq (-2)[/tex]
For matching with givens graph:
Simplifying...
A). [tex]2x>(-6)[/tex]
Divide 2 on both sides
[tex]x>(-3)[/tex]
B). [tex]6+x\leq 3[/tex]
Add (-6) on both side.
[tex]6+x+(-6)\leq 3+(-6)[/tex]
[tex]x\leq(-3)[/tex]
C). [tex]x-4<(-7)[/tex]
Add (4) on both side.
[tex]x-4+4<(-7)+4[/tex]
[tex]x<(-3)[/tex]
D). [tex]-x-5\leq (-2)[/tex]
Multiple (-1) on both side
[tex]+x+5\geq (+2)[/tex]
Note : Change of inequality sign due to multipication of negative number
Add (-5) on both side.
[tex]x\geq (-3)[/tex]
Here, Answer is given in form of 4 figure labelled with inequality
