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Math Asked by a SnapAndSolve user · about 1 hour ago

DIRECTIONS: Use this information to answer Parts A and B. Solve the inequality. Describe the relationship...

DIRECTIONS: Use this information to answer Parts A and B.
Solve the inequality. Describe the relationship between the solution and the graphs of the individual inequalities.
3x + 7 > 10x + 14 AND 10 + 7x > 10 + x
Part A
Which of the following is the solution to the compound inequality in simplest form?
○ x > -1 AND x < 0
○ x < -1 OR x > 0
○ No solution

Answer

Solution to the inequalities:

  1. For the first inequality:
    3x + 7 > 10x + 14
    3x - 10x > 14 - 7
    -7x > 7
    x < -1
  2. For the second inequality:
    10 + 7x > 10 + x
    7x - x > 0
    6x > 0
    x > 0

Compound inequality: x < -1 AND x > 0

Since there is no x that satisfies both x < -1 and x > 0 simultaneously, the solution is:

No solution

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