Solve the inequality. -10\leq2x – 4 < 8

Question

Solve the inequality.
-10\leq2x – 4 < 8

0

Answers ( No )

    0
    2021-09-09T18:28:16+00:00

    (This is not the only way to solve it)

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

    0
    2021-09-09T18:28:23+00:00

    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)

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