Sat math help

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The answer is A but i want explanation.

Here is the second qestion

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Thanks in advance

  1. Rearrange to y <= (-1/2)x + 5/2. The line y = (-1/2)x + 5/2 has slope -1/2, as choice A satisfies. The solution set to the inequality is the set of all points on or below the line.
  2. Answer is not 6 years because the sum of her age and #years worked will be 51+15 = 66 < 70.

But if she works an additional 2 years (in addition to 6), then she will be 53 and have worked 17 years and 53+17 = 70. Hence the min. # of years required is 8 years.

@MITer94‌ thanks a lot really helpful