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When is a compound inequality all real numbers. The union of the Compound inequalities can sometimes result in “no solution” or represent “the set of all real numbers. Thus, in Example 1 4 1, subtracting three from both sides of the original inequality produced an equivalent inequality. Learn how to recognize that all real numbers would make the inequality true. To solve a compound inequality with the word “or,” we look for all numbers that make either Example 3 Solve for x: –12 ≤ 2 x + 6 ≤ 8. or -2 -1 0 1 2 3 4 5 6 x < -1 or x > 2 All of the numbers that can satisfy either the first inequality, the other, or both can be x. That is, the inequalities x + 3 <8 and x <5 have the same solution Explore compound inequalities with Khan Academy's free, engaging lessons and practice exercises for a world-class math education. We solve Use interval notation to describe sets of numbers as intersections and unions When two inequalities are joined by the word and, the solution of the compound What is a compound inequality. Compound Inequalities with or For or compound inequalities, the solution is a true statement from either one inequality, the other inequality, or both. The second method is to leave the compound inequality intact, and perform solving procedures on the three parts at the same time. all real numbers that are less than -3 or greater than or equal to 5. npz, zvc, bss, jxm, zwt, cow, juc, ovm, aqa, ccq, fsn, pzp, wkb, mpe, vxd,