Solving Rational Equations and Inequalities

• x = 2
• x = 3/4
• x = 4
• x = 1/2

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

• (-2,2)

• $\left(-\infty,\ -2\right)\cup\left(2,\ \infty\right)$

• [-2,2]

• $\left(\infty,\ -2\right)\cup\left(2,\ -\infty\right)$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.12

• 3/5

• 3/4

• 1/4

• 4/5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

• -25/3

• 4

• -6

• 25/3

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

• 13/5

• -13/5

• 5/13

• -5/13

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.B.3

• 5/4

• 2/5

• 1/3

• 4/3

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.B.3

• $\left[0,3\right)$

• $\left(0,3\right]$

• $\left(-\infty,3\right]$

• $\left(-\infty,0\right)$

Solve. 5(6 + 3r) + 7 ≥ 127

• r ≤ 6

• r ≥ 6

• r ≤ -6

• r ≥ -6

-3 − 6(4x + 6) > -111

• x > 3
• x < 3
• x < -3
• x > -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

3x - 8 < 3(x - 4) + 1

• x < -11

• no solution

• all real numbers

• x > -8

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3