Solve and write the solution in interval notation 8(2x- 4)-3x>5x+6一x

16x-24 -3x is less than 10x

Hey there!

8(2x - 4) - 3x > 5x + 6 - x

DISTRIBUTE 8 WITHIN the PARENTHESES

8(2x) + 8(-4) - 3x > 5x + 6 - x

16x - 32 - 3x > 5x + 6 - 1x

13x - 32 > 4x + 6

SUBTRACT 4x to BOTH SIDES

13x - 32 - 4x > 4x + 6 - 4x

SIMPLIFY IT!

9x - 32 > 6

ADD 32 to BOTH SIDES

9x - 32 + 32 > 6 + 32

CANCEL out: -32 + 32 because it gives you 1

KEEP: 6 + 32 because it helps solve for the x-value

NEW EQUATION: 9x > 6 + 32

SIMPLIFY IT!

9x > 38

DIVIDE 9 to BOTH SIDES

9x/9 > 38/9

CANCEL out: 9/9 because it gives you 1

KEEP: 38/9 because it helps solve for the x-value

NEW EQUATION:

x > 38/9 ≈ x > 4.222222222222222

SIMPLIFY IT!

Therefore, your answer is: x > 38/9

(IT IS AN OPEN CIRCLE SHADED TO THE RIGHT)

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

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step-by-step explanation: