To solve the inequality, we can begin by simplifying the expression on the left side of the inequality sign:
4(x - 9) + 2x < -6
Starting with the distributive property, we can multiply 4 by both terms inside the parentheses:
4x - 36 + 2x < -6
Combine like terms by adding 4x and 2x:
6x - 36 < -6
To isolate the variable, we can add 36 to both sides of the inequality:
6x < 36 - 6
Simplifying the right side:
6x < 30
Finally, we can divide both sides of the inequality by 6 to solve for x:
(6x)/6 < 30/6
Simplifying further, we have:
x < 5
Therefore, the solution to the inequality is x is less than 5.
Solve the inequality. Make sure to show your work. -
4(x - 9) + 2x < - 6
1 answer