Inequalities with No Solution or Infinite Solutions
Read this topicExplanations 3
- Inequalities with no solution or all real numbers Sometimes, it's possible to solve an inequality and realize it is meaningless! Let me give a couple of examples: 3x+3<4x<3x−33x…
By Tommy San Miguel, Moor Xu, Zora Gilbert, Vatsal Ojha, Jonathan Heller, Anusha Rahman
- As with equalities, it's possible for inequalities to have no solution. And, just to make your life a little more fun, it's also possible that the solution to an inequality can …
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Vatsal Ojha, Amy Feraco, Jonathan Heller, Anusha Rahman, Caroline K
- (Video) Solve No Solution and All Real Number Inequalities by Monica Wieneke This video by Monica Wieneke shows you some inequalities with no solution or infinite solutions. Sum…
By Alex Federspiel, Zora Gilbert, Elise Molinaro, Vatsal Ojha, Amy Feraco, Jonathan Heller, Caroline K, Anusha Rahman
Problems 26
- Describe the solutions of the following inequality. 2x−5<2(x−3)2x-5<2(x-3)2x−5<2(x−3)
- Describe the solutions of the following inequality. 4(x+4)<4(x+5)−14(x+4)<4(x+5)-14(x+4)<4(x+5)−1
- Describe the solutions of the following inequality. 4x>4(x+2)4x>4(x+2)4x>4(x+2)
- Describe the solutions of the following inequality. x+5<13x−6(2x−1)x+5<13x-6(2x-1)x+5<13x−6(2x−1)
- Describe the solutions of the following inequality. 5+4x+6(x−2)>5(2x+1)5+4x+6(x-2)>5(2x+1)5+4x+6(x−2)>5(2x+1)
- Describe the solutions of the following inequality. 9(x+6)<3(3x+2)+7⋅6+69(x+6)<3(3x+2)+7\cdot6+69(x+6)<3(3x+2)+7⋅6+6
- Describe the solutions of the following inequality. 4(3x+y−z+2)<2(2x−2z+1)+4(2x+y+3)4(3x+y-z+2)<2(2x-2z+1)+4(2x+y+3)4(3x+y−z+2)<2(2x−2z+1)+4(2x+y+3)
- For what values of α\alphaα is the following inequality true whenever xxx is real and y>0y > 0y>0 is a positive real number? 6(x+2y+4)≥3(2x+αy+8)6(x+2y+4)\geq3(2x+\alpha y+8)6(x…
- Solve the inequality: x2≤−3,x∈R.x^2\leq{-3}, x \in \mathbb{R}.x2≤−3,x∈R.
- When the solution to an inequality is all real numbers, this is because
- The interval notation for all real numbers is
- Identify the type of solution for the inequality and the reason why: ∣3x−10∣≤−2|3x-10|\leq{-2}∣3x−10∣≤−2
- Describe the solutions of the following inequality: −6x−12<−6(x+1)-6x-12<-6(x+1)−6x−12<−6(x+1)
- Describe the solutions of the following inequality: ∣8x+2∣≤1|8x+2|\leq{1}∣8x+2∣≤1
- When an inequality is said to have no solution, this means that
- Describe the solutions of the following inequality 2(5x+7)<−2(5x+6)2(5x+7)<-2(5x+6)2(5x+7)<−2(5x+6)
- Which of the following indicates an inequality with no solution?
- Describe the solutions for the following inequality. (3x⋅2)⋅(7+1)>2x⋅(7+2)\left(3x\cdot2\right)\cdot\left(7+1\right)>2x\cdot\left(7+2\right)(3x⋅2)⋅(7+1)>2x⋅(7+2)
- Describe the solution for the following inequality. x0>5\frac{x}{0}>50x>5
- Describe the set of solutions for the following inequality. 2x−4<−42x-4<-42x−4<−4 and −2x−2<−16-2x-2<-16−2x−2<−16
- Why does the following inequality have no solution? ∣x3+7∣<0\lvert{x^3 + 7}\rvert < 0∣x3+7∣<0
- Describe the solutions to the following inequality: −2(2−2x)−4(x+5)≤−24-2(2-2x) - 4(x+5) \leq -24−2(2−2x)−4(x+5)≤−24
- Solve for xxx: 3(1−2x)>3−6x3(1-2x) > 3 - 6x3(1−2x)>3−6x
- Solve for xxx: −6(1+7x)+7(1+6x)≤−2-6(1 + 7x) + 7(1 + 6x) \leq -2−6(1+7x)+7(1+6x)≤−2
- Solve for xxx: 2x−7≥−14+2x2x - 7 \geq -14 + 2x2x−7≥−14+2x
- Solve for xxx: x4−1≤x+84\frac{x}{4} - 1 \leq \frac{x+8}{4}4x−1≤4x+8