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Math Asked by a SnapAndSolve user · about 1 hour ago

-2x - 2 > 3x - 6 2. 2x - 4 = -2 - 7 - x + 3x - 5 3. Factor: x^2 + 5x - 12 4. Factor: (x^2 - 9) 5. Graph the...

1. -2x - 2 > 3x - 6
2. 2x - 4 = -2 - 7 - x + 3x - 5
3. Factor: x^2 + 5x - 12
4. Factor: (x^2 - 9)
5. Graph the equation: 2y - 2 = x
6. Graph the equation: 3x = 2y + 12

Answer

  1. To solve -2x - 2 > 3x - 6, add 2x to both sides: -2 > 5x - 6. Add 6 to both sides: 4 > 5x. Divide by 5: x < 4/5.

  2. Simplify 2x - 4 = -2 - 7 - x + 3x - 5: 2x - 4 = -14 + 2x. Subtract 2x from both sides: -4 = -14, which is not possible. No solution.

  3. Factor x^2 + 5x - 12: (x + 6)(x - 2).

  4. Factor (x^2 - 9): (x - 3)(x + 3).

  5. Graph the equation 2y - 2 = x: Rearrange to y = (1/2)x + 1. This is a line with slope 1/2 and y-intercept 1.

  6. Graph the equation 3x = 2y + 12: Rearrange to y = (3/2)x - 6. This is a line with slope 3/2 and y-intercept -6.

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