need help with -7x<28 solve graph

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need help with -7x<28 solve graph

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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  • phi
this is tricky. because you have a < sign, we have to be careful if we multiply or divide by negative numbers. here, divide both sides by -7 and *switch the sign* to > you get x> -4
it is tricky. I have a number line to put the answer on. also why did you make x>than -4
  • phi
here is an example with numbers -7 < -4 that says minus 7 is smaller than minus 4 (and it is) if we multiply (or divide by a negative number) , the sign must change. for example, say we multiply by -1 (on both sides), like this -1*-7 < -1*-4 7 < 4 and that is not true. but 7>4 is true.

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Other answers:

  • phi
one way to stay out of trouble is only multiply by positive numbers. and use add/subtract for example -7x< 28 add 7x to both sides -7x+7x < 28 + 7x 0 < 28 + 7x now add -28 to both sides. we get -28 < 7x finally , divide both sides by 7 -28/7 < x -4 < x
  • phi
-4 < x the "big side of <" is next to x and the small end of < is next to -4 that means this says -4 is smaller than x or x is bigger than -4 we can also write it x> -4 which also means x is bigger than -4
  • phi
to graph it, make a number line. put an open circle O at -4 (if it were \( x \ge -4\) we would use a filled in circle) then show all the numbers bigger than -4 by drawing a line with an arrow head pointing toward the bigger numbers i..e toward 0
I see. Thanks
how about 1/3 >_ 2
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