Solving Inequalities

8(m + 2)< 4(5 + 2m)

• no solution
• m < -2
• all real numbers
• m > 4

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

• A)
• B)
• C)
• D)

Tags

CCSS.6.EE.B.8

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5
• x ≤ -2 OR x > 5
• x ≥ -2 OR x < 5
• -2 ≤ x < 5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.D.12

Your taxi fare is $2.50 per mile, plus a $5 fee.  You cannot exceed $20.  Which inequality models this scenario?

• 5x + 2.50 ≤ 20
• 2.50x + 5 < 20
• 2.50x + 5 ≤ 20
• 7.50x < 20

Tags

CCSS.7.EE.B.4B

Four times a number, increased by 6 is greater than 22.  Which inequality models this scenario?

• 4x - 6 > 22
• 4x + 6 < 22
• 4x + 6 ≥ 22
• 4x + 6 > 22

Tags

CCSS.7.EE.B.4B

Solve:
2x² + 5x ≥  12

• [-4, 1.5]
• (-oo, -4) U (1.5, oo)
• (-oo, -4] U [1.5, oo)
• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

What is the solution set to the inequality x² - 4x - 5 > 0

• x < -1 or x > 5
• x < -5 or x > 1
• -1 < x < 5
• -5 < x < 1

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

What are the solutions to the equation

2x³+x²=8x+4

• x=2, x=-2, x=-1/2

• x=4, x=-4, x=-1/2

• x=2, x=-1, x=-1/2

• x=1, x=-2, x=-1/2

f(x)=(x+4)(x-3)(x-2)

List the zeros for this function.

• x=-4, x=3, x=-2

• x=-4, x=3, x=2

• x=-4, x=-3, x=2

• x=4, x=3, x=2

Write the following in interval notation
x > 6 and x ≤ 10

• (-∞, 6) and (10, ∞)
• [6, 10)
• (-∞, 6] and [10, ∞)
• (6, 10]