Simplify Inequalities w/ Distributive Property - Examples
Read this topicExplanations 3
- (Video) Solve Single Linear Inequalities by HEGARTYMATHS Here's a good video by HEGARTYMATHS solving some inequalities using the distributive property. Summary\large{\text{Summa…
By Alex Federspiel, Zora Gilbert, Amy Feraco, Caroline K, Anusha Rahman
- The general approach to solve a complex inequality is the same as a simpler one. We will simplify and isolate our variable on one side of the equation. Let's focus on a techniqu…
By Hannah Bonville, Zora Gilbert, Yuri Campilii, Alex Federspiel, Vatsal Ojha, Jonathan Heller, Caroline K, Anusha Rahman
- Simplify Inequalities: Using the Distributive Property Solving inequalities with the distributive property is very similar to solving regular equations with the distributive pro…
By Anusha Rahman
Problems 33
- Solve for xxx. 4(2−x)<3(4−2x)4(2-x)<3(4-2x)4(2−x)<3(4−2x)
- Solve for xxx. 4(x−2)−8(2−x)>14(3−x)+7(2x+8)4(x-2)-8(2-x)>14(3-x)+7(2x+8)4(x−2)−8(2−x)>14(3−x)+7(2x+8)
- Which values of xxx below satisfy the following inequality? 6(6x+6)<6(6−6x)6(6x+6)<6(6-6x)6(6x+6)<6(6−6x)
- Solve for xxx. 4(x+6)−3(x−1)<5(2x+9)4(x+6)-3(x-1)<5(2x+9)4(x+6)−3(x−1)<5(2x+9)
- Solve for xxx. 8(6−x)>2(5x−13)8(6-x)>2(5x-13)8(6−x)>2(5x−13)
- Solve for xxx. 14−3(x−9)<22x−5(3x+1)14-3(x-9)<22x-5(3x+1)14−3(x−9)<22x−5(3x+1)
- Solve for xxx. 4(6x+8)<5(7x+2)4(6x+8)<5(7x+2)4(6x+8)<5(7x+2)
- Solve for xxx. 8(x+8)>(5x−2)−3(4x−3)8(x+8)>(5x-2)-3(4x-3)8(x+8)>(5x−2)−3(4x−3)
- Solve for xxx. −(x+9)<−4(−4x+9)−4(−3)+5(9x+6)-(x+9)<-4(-4x+9)-4(-3)+5(9x+6)−(x+9)<−4(−4x+9)−4(−3)+5(9x+6)
- Solve for xxx. 3(6−7x)−7(8x−3)>3(x+1)3(6-7x)-7(8x-3)>3(x+1)3(6−7x)−7(8x−3)>3(x+1)
- Solve the inequality: x2−x−16≥\frac{x}{2}-\frac{x-1}{6}\geq2x−6x−1≥x+210−4\frac{x+2}{10}-410x+2−4
- Solve −2(x−1)≤6-2(x-1)\leq{6}−2(x−1)≤6.
- Solve the inequality. 12x−6(4x+1)≥−1+3(x−20)12x-6(4x+1)\geq{-1+3(x-20)}12x−6(4x+1)≥−1+3(x−20)
- Determine which of the following number lines represents the inequality −4(x+1)<2x+3-4(x+1)<2x+3−4(x+1)<2x+3.
- Solve for xxx. 3(7x+2)≥−5x+33(7x+2)\geq{-5x+3}3(7x+2)≥−5x+3
- Solve the inequality 5−5(4x−3)<10(x−4)5-5(4x-3)<10(x-4)5−5(4x−3)<10(x−4)
- Five times the sum of a number and 161616 is at least 120120120. Letting xxx represent the number, find the inequality that represents this situation?
- What mathematical symbol most likely indicates the use of the distributive property?
- Solve for xxx. 6−5(4x−3)<11(x−4)6-5(4x-3)<11(x-4)6−5(4x−3)<11(x−4)
- What is the first logical step in solving 7x>2(x−1)7x>2(x-1)7x>2(x−1)?
- Solve for xxx. 6[3(4−x)−2]≤−306[3(4-x)-2]\leq{-30}6[3(4−x)−2]≤−30
- Which of the following lines represents the inequality 3(x−83)≥193\left(x-\frac{8}{3}\right)\geq{19}3(x−38)≥19?
- Solve 14(x+5)+14>−12\frac{1}{4}\left(x+5\right)+\frac{1}{4}>-\frac{1}{2}41(x+5)+41>−21
- Which of the following inequalities is the same as 8≤8−6x+4x8\leq{8-6x+4x}8≤8−6x+4x?
- Solve for xxx. x(x+2)<x(x−5)+10x(x+2)<x(x-5) +10x(x+2)<x(x−5)+10
- Solve for xxx. 5(2x+x5)<x+55(2x+\frac{x}{5})<x+55(2x+5x)<x+5
- For the inequality below, what is the smallest possible whole number xxx can be? x(2+12)<4x+x2x(2+\frac{1}{2}) < 4x+\frac{x}{2}x(2+21)<4x+2x
- Simplify the following inequality. 6x−4≥2(2x+9)6x-4 \geq 2(2x+9)6x−4≥2(2x+9)
- Solve for xxx. 3(2x−1)−4(x+2)≥7x−43(2x-1)-4(x+2) \geq 7x-43(2x−1)−4(x+2)≥7x−4
- Solve for xxx. 7(x−2)+3(x+4)≤2(x−1)−9(2x+3)7(x-2)+3(x+4) \leq 2(x-1)-9(2x+3)7(x−2)+3(x+4)≤2(x−1)−9(2x+3)
- Solve for xxx. 18(2x−3)>4(x+3)18(2x-3) > 4(x+3)18(2x−3)>4(x+3)
- Solve for xxx. 6(4x+7)<−3(x−2)6(4x+7) < -3(x-2)6(4x+7)<−3(x−2)
- Solve for xxx. −3(−x+4)−6(x−9)≥2(4−x)+7(x+1)-3(-x+4)-6(x-9) \geq 2(4-x)+7(x+1)−3(−x+4)−6(x−9)≥2(4−x)+7(x+1)