Compound Inequalities
Compound inequalities are mathematical expressions that involve two or more inequalities joined together by the words "and" or "or." They are used to describe a range of values that satisfy multiple conditions simultaneously. In algebra, understanding compound inequalities is crucial for solving problems involving intervals, inequalities, and set notation. By analyzing the relationship between multiple inequalities, mathematicians can determine the set of possible solutions and represent them graphically on a number line. Compound inequalities play a fundamental role in various fields of mathematics and real-world applications, making them an essential concept for students to grasp.
Questions
- How do you solve and graph the compound inequality #-2< 2 x - 4 < 6#?
- What values of the variable make both inequalities true #(d+176)/3<116# and #24+d>368#?
- How do you solve and graph #x < -1# or #x > 1#?
- How do you solve and graph the compound inequality #-2<=5 - x / 3<=2# ?
- How do you solve #Solve: 1/2x - 3 <=-1/1.5x - .5 <=1/2x + 2#?
- How do you graph #x ≥ 4# or #x > -4#?
- How do you solve compound inequalities #8d<-64# and #5d > 25#?
- How describe a real life situation for the inequality #-2<x<8 #?
- A company is making an action figure that must be at least 19.21 centimeters tall and at most 31.23 centimeters tall. How do you write a compound inequality that describes how tall the action figure can be and put the answer in set builder notation?
- How do you solve #- 7< 5 - 2y <= 1?#
- How do you solve and graph #-2<-2n+1<=7#?
- How do you solve #7>1-2x<=10#?
- How do you solve the inequality: #4> -5x+3# and #11<-5x+4#?
- How do you solve and graph #-5 < 2x + 1 < 4#?
- How do you solve #9-2x \le 3 or 3x+10 \le 6-x#?
- How do you solve #15g+18>13g-2>=6+15g#?
- How do you solve and graph #r+6< -8# and #r-3> -10#?
- How do you solve and graph #2x > -6# and #x - 4 < 3#?
- How do you solve and graph #x < 5# or #x > -1#?
- How do you solve and graph #-1<2b<8#?