Solve the inequality. Expression solution set using interval notation and graph the solution set using a number line. -15x+3<_-3(4x-7)
Thats supposed to be a greater than or equal to sign lol
See previous post.
To solve the inequality -15x + 3 ≥ -3(4x - 7), we can follow these steps:
Step 1: Distribute on the right side of the inequality:
-15x + 3 ≥ -12x + 21
Step 2: Move all the terms to one side of the inequality:
-15x + 12x ≥ 21 - 3
-3x ≥ 18
Step 3: Divide both sides of the inequality by -3 (since the coefficient of x is negative, we need to flip the inequality sign):
x ≤ 18 ÷ -3
x ≤ -6
Now, we have found the value of x that satisfies the inequality.
The solution set using interval notation is (-∞, -6] since x can take any value less than or equal to -6.
To graph the solution set on a number line, draw an open circle at -6 (since the inequality is not inclusive) and shade the left portion of the number line.