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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 >
it is tricky. I have a number line to put the answer on. also why did you make x>than -4
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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one way to stay out of trouble is only multiply by positive numbers.
and use add/subtract
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
-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
which also means x is bigger than -4
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