is this correct
solve and graph the solution set:
-3x+10>25
-3x> 25-10
(-3x)/(-3) > (15)/(-3)
x < -5
correct.
3x=25-10
Yes, that is correct! To solve and graph the solution set for the inequality -3x + 10 > 25, you followed the correct steps. Here's a breakdown of each step:
1. Start with the original inequality: -3x + 10 > 25
2. Subtract 10 from both sides to isolate the term with x: -3x > 25 - 10, which simplifies to -3x > 15
3. Divide both sides of the inequality by -3. Note that when dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality sign must be flipped: (-3x)/(-3) < (15)/(-3), which simplifies to x < -5.
After solving the inequality, you determined that x is less than -5. To graph the solution set on a number line, you would mark a solid dot on -5 and shade the line to the left of -5 to indicate that any value of x less than -5, including -5 itself, satisfies the inequality.