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  3. Which of the following could be the grap>h of all values of x that satisfy the inequality?

Which of the following could be the grap>h of all values of x that satisfy the inequality?

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问题 Which of the following could be the grap>h of all values of x that satisfy the inequality?
选项 A、 
B、 
C、 
D、 
E、 
答案C
解析 To determine which of the graphs is the correct answer, you first need to determine all values of x that satisfy the inequality. To do that you need to simplify the inequality until you isolate x.
    You can begin by multiplying both sides of the inequality by 3 to obtain(3)(2 - 5x)-(6x - 5). Note that when you multiply by 3, the right-hand side of the inequality becomes -(6x - 5), not -6x - 5.
    The rest of the simplification is as follows.

Note that when an inequality is multiplied(or divided)by a negative number, the direction of the inequality reverses.
    The graphs in the answer choices are number lines on which only the number 0 is indicated. Therefore, you do not need to locate 1/9 on the number line; it is nough to know that 1/9 is a positive number. Choice C is the only choice in which the shaded part of the line is equal to or greater than a positive number. Therefore, the correct answer is Choice C.
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