Asked by Jon
What is the solution of 2-(x+4)is greater than or equal to 3-2x by using interval notation
Answers
Answered by
RickP
2 - (x + 4) >= 3 - 2x
2 - x - 4 >= 3 - 2x
-x - 2 >= -2x + 3
add x to each side
-2 >= -x + 3
subtract 3 from both sides
-5 >= -x
multiply through by -1, remembering to reverse the direction of the inequality
5 <= x
means
x >= 5
for interval notation use the square bracket when = is involved and the round bracket when it is not.
2 - x - 4 >= 3 - 2x
-x - 2 >= -2x + 3
add x to each side
-2 >= -x + 3
subtract 3 from both sides
-5 >= -x
multiply through by -1, remembering to reverse the direction of the inequality
5 <= x
means
x >= 5
for interval notation use the square bracket when = is involved and the round bracket when it is not.
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