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3 votes
Solve the inequality.
-10
\leq2x - 4 < 8

2 Answers

4 votes

remember: for an equation, whatever you do to one side, you must do to the other to make it true

also, for inequalities, if you divide or multiply both sides by a negative number, you must flip the direction of the sign (ex < to >)


-10≤2x-4<8

add 4 to both sides

-6≤2x<12

divide both sides by 2

-3≤x<6


the solution is -3≤x<6 or in set notation, x=[-3,6)

User Eledgaar
by
6.2k points
4 votes

(This is not the only way to solve it)


0\leq 2x+6<18\\-6\leq 2x<12\\-3\leq x<6\\


User KkMIW
by
5.8k points