Answer: x < 9
Explanation:
I believe there is a typo in your message. The inequality -6.1x < -24.4x 164.7 is not well-formed. It should be -6.1x < -24.4x + 164.7.
To solve the inequality -6.1x < -24.4x + 164.7, we can start by isolating the variable x on one side of the inequality. We can do this by adding 24.4x to both sides of the inequality:
−6.1x+24.4x<164.7
−6.1x+24.4x<164.7
Simplifying the left-hand side of the inequality, we get:
18.3x<164.7
18.3x<164.7
Finally, we can isolate x by dividing both sides of the inequality by 18.3:
x<164.718.3
x<18.3164.7
Evaluating the expression, we get:
x<9
x<9
Therefore, the solution to the inequality -6.1x < -24.4x + 164.7 is:
x<9