Question

50 POINTS

What is the smallest value of x that makes this inequality true?

2/3(4x-1)-6 is greater than or equal to, 7-(2x+9) ​

Answer 1

x = 1 is true

Explanation:

2/3(4x - 1) - 6 ≥ 7 - (2x + 9)

remove parenthesis:

2/3*4x - 2/3*1 - 6 ≥ 7 - 2x + 9

simplify:

8x/3 - 2/3 - 6 ≥ 2x - 2

combine similar terms:

8x/3 + 2x ≥ -2 + 2/3 + 6

simplify 14/3x ≥ 14/3

finally x = 1 is true

Answer 2

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