# Multi-Step Inequalities

Multi-step inequalities are fundamental concepts in mathematics, essential for solving complex mathematical problems involving inequalities with multiple operations. Unlike simple linear inequalities, multi-step inequalities involve several steps to isolate the variable and determine the solution set. These inequalities often encompass a combination of addition, subtraction, multiplication, and division, requiring careful application of inverse operations and principles of inequality to find the appropriate solution intervals. Mastery of multi-step inequalities is crucial in various mathematical disciplines, including algebra, calculus, and optimization, where precise understanding and manipulation of inequalities play a pivotal role in problem-solving and mathematical modeling.

- How do you solve the inequality #x^2 - 9x> -18#?
- How do you solve #5x-7<2x-1#?
- How do you solve and graph #5-2x>=27#?
- How do you solve and write the following in interval notation: #(1-x)/(x-9) >=0#?
- How do you solve the inequality #2x-17>=29#?
- How do you solve and graph #k+3/4>1/3#?
- How do you solve #10 < –3x + 1#?
- How do you solve the combined inequality #4x+4>0# and #-3x+6>=-6#?
- How do you solve and write the following in interval notation: #x/2 + 3 ≤ 1#?
- How do you solve the inequality #7+3g>2(g+3)#?
- How do you solve #7x + 8 >22#?
- How do you solve # -(8 - s) < 0#?
- How do you solve and graph # 3-2k > -4#?
- How do you solve and write the following in interval notation: #-7x-2< -8x-6#?
- How do you solve # x(x-5)<x(x-4)+2#?
- How do you solve the inequality #4 - 4x > 5(3 + x) #?
- How do you solve #2(x-4)<=2+3(x-6)#?
- How do you solve and graph #P - 1.5 < 1.5#?
- How do you solve #3a+ 6\leq - 5( a+ 2)#?
- How do you solve the inequality #7+14x<21# or #8x>12#?