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algebra 1

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1)write an inequality

a. the sum of three times a number and 2 lies between 7 and 14

b.seven less than 4 times a number is at most 44 and at least -24.

2)which is not a solution of -4 is less than or equal to 2-6x less than or equal to 8.

3) 2x-1<x+2<6x+12

a. 0
b. 1
c. 2
d.-1

  • algebra 1 - ,

    1a. 7 < (3x+2)<14.

    2. -4<= 2-6x <= 8.
    -4-2 <= -6x <= 8-2
    -6 <= -6x <= 6
    1 >= X >= -1
    -1<= X <= 1.
    S0 X can be any value from -1 to positive 1.

    C. 2 is False. Not a solution.

    3. 2x-1<x+2 < 6x+12
    Solve the compound inequality as 2 separate inequalities.

    2x-1 < x+2.
    2x-x < 2+1
    X < 3.

    x+2 < 6x+12
    x-6x < 12-2
    -5x < 12-2
    -5x < 10
    X > -2.

    Solution set: -2 < X < 3.

    All values of X between -2 and 3 satisfies the compound inequality and
    each single inequality.

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