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Solve the following inequality: 9x+2/3(−7x+6)−1≥2

User Gladiator
by
8.0k points

2 Answers

3 votes

Answer:

x ≥ -
(3)/(13)

Explanation:

Given

9x +
(2)/(3)(- 7x + 6) - 1 ≥ 2

Multiply through by 3 to clear the fraction

27x + 2(- 7x + 6) - 3 ≥ 6 ← distribute and simplify left side

27x - 14x + 12 - 3 ≥ 6

13x + 9 ≥ 6 ( subtract 9 from both sides )

13x ≥ - 3 ( divide both sides by 13 )

x ≥ -
(3)/(13)

User Ewaver
by
8.2k points
3 votes

Answer:

Explanation:

3(9x - 14/3x + 4 - 1 ≥ 2)

27x - 14x + 12 - 3 ≥ 6

13x + 9 ≥ 6

13x ≥ -3

x ≥ -3/13

User Darius
by
7.9k points

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