Which numbers are not in the solution set of the inequality -0.5m - 0.2

Question

Which numbers are not in the solution set of the inequality -0.5m - 0.2 < 0.3(2 - m)? Select all that apply.   Multi-select Choices: (A)-4 (B)0 (C)3 (D)-6 (E)-9/2 (F)-2

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Simplify inequality: Simplify the inequality by distributing 0.3 on the right side. -0.5m - 0.2 < 0.6 - 0.3mCombine like terms: Combine like terms by moving all m terms to one side and constants to the other. -0.5m + 0.3m < 0.6 + 0.2 -0.2m < 0.8Solve for m: Solve for m by dividing both sides by -0.2, remembering to flip the inequality sign because we are dividing by a negative number. m > -4Check with boundary condition: Check the inequality with the boundary condition m = -4. -0.5(-4) - 0.2 < 0.3(2 - (-4)) 2 + 0.2 < 0.3(6) 2.2 < 1.8 This is false, so m = -4 is not in the solution set.Check other values: Check other values against m > -4. For m = 0, -0.5(0) - 0.2 < 0.3(2 - 0) -0.2 < 0.6 This is true, so m = 0 is in the solution set.Continue checking values: Continue checking values. For m = 3, -0.5(3) - 0.2 < 0.3(2 - 3) -1.7 < 0.3(-1) -1.7 < -0.3 This is true, so m = 3 is in the solution set.Check m = -6: Check m = -6. -0.5(-6) - 0.2 < 0.3(2 - (-6)) 3 + 0.2 < 0.3(8) 3.2 < 2.4 This is false, so m = -6 is not in the solution set.Check m = -9/2: Check m = -9/2. -0.5(-9/2) - 0.2 < 0.3(2 - (-9/2)) 2.25 + 0.2 < 0.3(11/2) 2.45 < 1.65 This is false, so m = -9/2 is not in the solution set.Check m = -2: Check m = -2. -0.5(-2) - 0.2 < 0.3(2 - (-2)) 1 + 0.2 < 0.3(4) 1.2 < 1.2 This is true, so m = -2 is in the solution set.

Which numbers are not in the solution set of the inequality -0.5m - 0.2 < 0.3(2 - m)? Select all that apply. $\newline$ Multi-select Choices: $\newline$ (A) $-4$ $\newline$ (B) $0$ $\newline$ (C) $3$ $\newline$ (D) $-6$ $\newline$ (E) $-\frac{9}{2}$ $\newline$ (F) $-2$

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Which numbers are not in the solution set of the inequality -0.5m - 0.2 < 0.3(2 - m)? Select all that apply.\newlineMulti-select Choices:\newline(A)−4-4−4\newline(B)000\newline(C)333\newline(D)−6-6−6\newline(E)−92-\frac{9}{2}−29​\newline(F)−2-2−2

Which numbers are not in the solution set of the inequality -0.5m - 0.2 < 0.3(2 - m)? Select all that apply. $\newline$ Multi-select Choices: $\newline$ (A) $-4$ $\newline$ (B) $0$ $\newline$ (C) $3$ $\newline$ (D) $-6$ $\newline$ (E) $-\frac{9}{2}$ $\newline$ (F) $-2$