Solving Equation and Inequalities Using Desmos

Solving Equations or Inequalities using Desmos

I am learning how to solve equations or inequalities using desmos.

Given, |x+2| = 10. Solve for x.

1. Seperate the two sides of the equation into two different equations. Use "y =" in front of each equation

2. Graph on desmos as two different lines.

3. Find where the point or points where the two lines cross each other.

4. Use the x-value to answer your question.

YOU DO:

You are to completing the coloring sheet either by hand or using demos.
Question: "Do I have to color?"
Answer: Yes.

Multiple Select

Solve. Select BOTH solutions.

$$\left|x-1\right|=3$$  

• -2

• 2

• 4

• -3

Multiple Choice

$$9+2\left|4x-2\right|=10$$  

• $$\frac{3}{8},\ -\frac{5}{8}$$  

• $$-\frac{3}{8},\frac{5}{8}$$  

• $$1$$  

• $$\frac{3}{8},\frac{5}{8}$$  

Multiple Choice

Solve:   $$20x=5x^2+20$$

• $$x=0$$  and  $$x=2$$  

• $$x=-2$$  

• $$x=2$$  

• $$x=2$$  and  $$x=-2$$  

Multiple Choice

Solve for the x-values.

• x = √9 and x = -√9

• x = 3 and x = -3

• x = 1 and x = -1

• No real solution

Multiple Choice

Solve the absolute value equation:

$$-10+\left|2x+9\right|=-10$$  

• $$x=\left\{-\frac{9}{2}\right\}$$  

• $$x=\left\{0\right\}$$  

• $$x=\left\{\frac{11}{2},\ -\frac{29}{2}\right\}$$  

• $$no\ solution$$  

Given, |x+2| > 10. Solve for x.

1. Seperate the two sides of the equation into two different equations. Use "y =" in front of each equation

2. Graph on desmos as two different lines.

3. Find where the point or points where the two lines cross each other.

4. Use the x-value to answer your question.

5. Determine if its a conjunction or disjunction.

Multiple Choice

Solve.

• -1 < x < 3

• -1 < x or x < 3

• -1 < x

• x < 3

Multiple Choice

Solve.

• no solution

• -6 ≤ r ≥ 8

• 6 > r > -8

• -6 < r < 8

Multiple Choice

Solve: 5x - 10x² < 0

• (0, ½)

• [0, ½]

• (−∞, 0) U (½, ∞)

• (- ½ , 0)

Multiple Choice

Solve

$$x^2-3x-10\le0$$  

• $$x\le-5\ or\ x\ge2$$  

• $$-5\le x\le2$$  

• $$x\le-2\ or\ x\ge5$$  

• $$-2\le x\le5$$  

Multiple Choice

Solve:

2x² + 5x ≥ 12 , then find the interval notation of the inequality.

• [-4, 1.5]

• (−∞, -4) U (1.5, ∞)

• (−∞, -4] U [1.5, ∞)

• no solution