Cumulative Standards Review
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Option | Point | Substitute | Simplify | Solution? |
---|---|---|---|---|
A | (0,0) | 0>2∣0+3∣−7 | 0>-1 | ✓ |
B | (1,1) | -1>2∣-2+3∣−7 | -1>-5 | ✓ |
C | (-2,-1) | 1>2∣1+3∣−7 | 1>1 | × |
D | (-1,1) | 1>2∣-1+3∣−7 | 1>-3 | ✓ |
As we can see, the substitution of (-2,-1) led to 1>1, which is a false statement, while the other points led to true statements. Because of that, only (1,1) is not a solution of the inequality. Since we are looking for the point that is not a solution of the inequality, C is the correct option.