anonymous
  • anonymous
Which of the following is not a way to represent the solution of the inequality 5(x + 2) greater than or equal to 7x + 2(x - 1)? A number line with a closed circle on 3 and shading to the right A number line with a closed circle on 3 and shading to the left 3 greater than or equal to x x less than or greater to 3
Mathematics
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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phi
  • phi
you have to simplify your relation first: \[ 5(x + 2) \ge 7x + 2(x - 1)\] distribute the 5 on the left side (that means multiply 5 times each term inside the parens) and distribute the 2 on the right side. You get: \[ 5x+10 \ge 7x+2x-2 \] on the right side you have 7 x's add 2 more x's. that is 9x's \[ 5x+10 \ge 9x-2 \] now add -5x to both sides \[ 5x-5x+10 \ge 9x-5x-2 \]
phi
  • phi
that simplifies to \[ 10 \ge 4x-2 \] add 2 to both sides to get \[ 12 \ge 4 x \] finally , divide both sides by 4 \[ 3 \ge x \] or \[ x \le 3 \] which means the same thing
phi
  • phi
I guess if we just read the 4 choices, we could figure out that 3 of them mean the same thing. the one we *do not* want is the one that shows x is bigger than 3 (in other words we do not want to shade numbers bigger than 3)

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anonymous
  • anonymous
so than b would be the answer right? @phi
anonymous
  • anonymous
anonymous
  • anonymous

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