SOLUTION: Solve the inequality. Write the solution set in interval notation. 5x+7/-3 ≤ 5x+4 Write the solution set in interval notation.

Algebra ->  Inequalities -> SOLUTION: Solve the inequality. Write the solution set in interval notation. 5x+7/-3 ≤ 5x+4 Write the solution set in interval notation.      Log On


   



Question 1067510: Solve the inequality. Write the solution set in interval notation.
5x+7/-3 ≤ 5x+4
Write the solution set in interval notation.

Answer by Lightning_Fast(78) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply by -3 on both sides:
5x+7 is greater than or equal to -15x-12 (remember that one switches the direction of the inequality when multiplying by a negative)
Do algebra
20x is greater than equal to -19
x is greater than or equal to -19%2F20
Thus, in interval notation, the solution is: [-19/20,infinity)
There is an illustration below.
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