Solving Compound Inequalities - Examples & Practice
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- Compound Inequalities We have learned the methods of manipulating and solving inequalities. We have also learned about compound inequalities and their word problems. The key to …
By Christine, Victor Wang, Joshua Siktar, Alex Federspiel, Jonathan Heller, Caroline K, Anusha Rahman
- Oh no! You missed all of your favorite college basketball games last weekend because your mom had you too busy doing chores to watch any TV! You stink mom! After you pout in ang…
By Joshua Siktar, Alex Federspiel, Jonathan Heller, Caroline K, Anusha Rahman
- (Video) Solving Compound Inequalities by Math Meeting This video by Math Meeting outlines the steps to solve compound inequalities. Summary The first example works through 2x−5<…
By Vatsal Ojha, Amy Feraco, Jonathan Heller, Caroline K, Anusha Rahman
Problems 20
- What is the solution to the following inequalities? 7<3x+12x≤16\begin{align} 7&<3x+1 \\ 2x&\leq16 \end{align}72x<3x+1≤16
- Find the solution to the following inequalities. 6+x≥4 or 9+x<4\begin{gather} 6+x\geq4\\ \text{ or } \\ 9+x<4 \end{gather}6+x≥4 or 9+x<4
- Convert this compound inequality to interval notation. x<2 and x<18x<2\text{ and }x<18x<2 and x<18
- Convert this compound inequality to interval notation. x<−5 or x≥−2x<-5\text{ or }x\geq-2x<−5 or x≥−2
- Convert this compound inequality to interval notation. x<2 or x<18x<2\text{ or }x<18x<2 or x<18
- Convert this compound inequality to interval notation. x<10 and x≤−10x<10\text{ and }x\leq-10x<10 and x≤−10
- Convert this compound inequality to interval notation. x>3 or x<−7x>3\text{ or }x<-7x>3 or x<−7
- Solve the following compound inequality. −x≤−4 or 6x<7-x\leq-4\text{ or }6x<7−x≤−4 or 6x<7
- Solve the following compound inequality. −7x>−8 or −x>7-7x>-8\text{ or }-x>7−7x>−8 or −x>7
- Solve the following compound inequality. 9x≥7 or 6x>49x\geq7\text{ or }6x>49x≥7 or 6x>4
- Solve the following compound inequality. −4x≤−8 or 2x≤16-4x\leq-8\text{ or }2x\leq16−4x≤−8 or 2x≤16
- Solve the following compound inequality. 10x<7 or −6x≤−1410x<7\text{ or }-6x\leq-1410x<7 or −6x≤−14
- Solve the following compound inequality. −5x≤−2 or −2x≤−8-5x\leq-2\text{ or }-2x\leq-8−5x≤−2 or −2x≤−8
- Solve the following compound inequality. 7x>−5 and x>87x>-5\text{ and }x>87x>−5 and x>8
- Solve the following compound inequality. −6x≥4 and −x≥−3-6x\geq4\text{ and }-x\geq-3−6x≥4 and −x≥−3
- Solve the following compound inequality. 6x≥−14 and −6x>−76x\geq-14\text{ and }-6x>-76x≥−14 and −6x>−7
- Solve the following compound inequality. 2x≥8 and −x≤62x\geq8\text{ and }-x\leq62x≥8 and −x≤6
- Solve the following compound inequality. 3x>19 and 9x<−173x>19\text{ and }9x<-173x>19 and 9x<−17
- Solve the following inequality: −36<3x−6 and x<−3-36 < 3x - 6 \,\,\text{and}\,\, x < -3−36<3x−6andx<−3
- Solve the following inequality: −1<9+x≤17- 1 < 9 + x \leq 17−1<9+x≤17