# Maths Solutions help

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Solve the following equation involving absolute value:

-3│4x – 7│+ 15 = 0

1. {2/3, 3}
1. {1/4, 6}
1. {1/2, 3}
1. {1/5, 3}

Solve the following linear equation:

7(x – 2) = 4(x + 1) – 21

1. x = 0
1. x = -1
1. x = -3
1. x = 3

Solve the following linear inequality:

 -3 ≤ 2x + 5 3 < 6

1. [-7, 13/2)
1. [-12, 7/2)
1. [-3, 8/3)
1. [3, 6/5)

Solve the following absolute value inequality:

│3x + 2│ ≥ 3

1. (-∞, -5/3] ∪ [1/3, ∞)
1. (-∞, -6/7] ∪ [5/6, ∞)
1. (-∞, -4/7] ∪ [1/2, ∞)
1. (∞, -6/7] ∪ [1/3, ∞)

Solve the following linear equation:

 2x – 3 4 = x -4 2 – x + 1 4

1. 2
1. 3
1. -6
1. -8

√(x-3) + 5 = x

1. {2}
1. {5}
1. {9}
1. {7}

Solve the following formula for the speciﬁed variable:

V = 1/3 lwh for h

1. h = 3V/lw
1. h = 5V/lw
1. h = 2V/ w
1. h = 7V/lw

Solve the following linear equation:

-10 – 3(2x + 1) – 8x – 1 = 0

1. x = -2
1. x = 4
1. x = -1
1. x = -2

Solve. Write the solution in interval notation.

|x + 4| ≤ 6

1. (–∞, –10) ∪ (2, ∞)
1. (–∞, –10] ∪ [2, ∞)
1. (–10, 2)
1. [–10, 2]

Solve the following linear inequality:

x/6 + 1/8 ≤ x/2 – 3/4

1. [21/8, ∞)
1. [12/3, -∞)
1. [4,-∞)
1. (-∞, ∞)

2x2 + 5x – 3 = 0

1. {-1/2,2}
1. {1/2,3}
1. {2,4}
1. {-1/3,5}

(x + 3)2 + 25 = 0

1. {-4 – 6i, -1 + 4i}
1. {-4 – 6i, -2 + 5i}
1. {-3 – 5i, -3 + 5i}
1. {-6 – 5i, -2 + 4i}

Solve the following equation quadratic in form:

x2/3 – 9x1/3 + 8 = 0

1. {1, 219}
1. {1, 328}
1. {1, 129}
1. {1, 512}

Solve:

9x + 8 = 2x + 8

1. –1
1. 0
1. 1
1. 2

Which statement is FALSE?

1. d ∉ {a, b, c}
1. Ø ∈ {a, b, c}
1. Ø ⊂ {a, b, c}
1. a ∈ {a, b, c}

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