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Lubov Fominskaja [6]
3 years ago
6

What Is the answer?

x < 14" alt="6x + 2 + 6x < 14" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
timofeeve [1]3 years ago
5 0

6x+2+6x<14

add 6x+6x

12x+2<14

subtract 2 from both sides

12x<12

divide by 12

x<1

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Solve these equations.<br> |x-7|=x-7
Cloud [144]

Answer:

x ≥ 7

Step-by-step explanation:

|x - 7| = x - 7

A. For each absolute, find the intervals

x - 7 ≥ 0     x - 7 < 0

     x ≥ 7           x < 7

If x ≥ 7, |x - 7| = x - 7 > 0.

If x < 7, |x - 7| = x - 7 < 0. No solution.

B. Solve for x < 7

Rewrite |x - 7| = x - 7 as

+(x - 7) = x - 7

      x - 7 = x - 7

-x + 14 = x

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C. Solve for x ≥ 7

Rewrite |x - 7| = x - 7 as

+(x - 7) = x - 7

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True for all x.

D. Merge overlapping intervals

No solution or x ≥ 7

⇒ x ≥ 7

The diagram below shows that the graphs of y = |x - 7| (blue) and of y = x - 7 (dashed red) coincide only when x ≥ 7.

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