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Aliun [14]
4 years ago
7

Which number line shows the solution to the inequality –2(3x – 1) < 8? A. Number lines from minus five to five by increament

of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at minus one B. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity C. Number lines from minus five by increament of one from left to right and each tick mark is labeled. Shaded part from minus infinity to open circle at two D. Number lines from minus five to five by increament of one from left to right and each tick mark is labeled. Shaded part from open circle at two to infinity
Mathematics
1 answer:
never [62]4 years ago
3 0

Answer:

The correct option is B.

Step-by-step explanation:

The inequality is: -2(3x - 1) < 8.

Solve for <em>x</em> as follows:

-2(3x - 1) < 8

-6x + 2 < 8

-6x < 6

-x < 1

x > -1

The solution for <em>x</em> is in the interval (-1, ∞].

The number line will be:

B. Number lines from minus five by increment of one from left to right and each tick mark is labeled. Shaded part from open circle at minus one to infinity

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7 0
3 years ago
Directions attatched
irina1246 [14]

Answer:

  • x=7
  • ∠GBD=112
  • ∠EFC=112

Step-by-step explanation:

Here, we need to know about the concept of the alternate interior angle theorem. This says that the alternate interior angle of two parallel lines formed with one transversal is equal. For a more graphical explanation, please refer to the attachment below.

--------------------------------------------------------------------------

Given

∠GBD=4x+84

∠EFC=16x

m∠GBD=m∠EFC

Solve

4x+84=16x ⇔ Given

4x+84-4x=16x-4x ⇔ Subtract 4x on both sides

84=12x ⇔ Simplify

84/12=12x/12 ⇔ Divide 12 on both sides

x=7 ⇔ Simplify

Substitute the x value into each angle expression

∠GBD=4x+84=4(7)+84=28+84=112

∠EFC=16x=16(7)=112

Hope this helps!! :)

Please let me know if you have any questions

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