Busy. Please wait.

Forgot Password?

Don't have an account?  Sign up 

show password


Make sure to remember your password. If you forget it there is no way for StudyStack to send you a reset link. You would need to create a new account.

By signing up, I agree to StudyStack's Terms of Service and Privacy Policy.

Already a StudyStack user? Log In

Reset Password
Enter the email address associated with your account, and we'll email you a link to reset your password.

Remove ads
Don't know (0)
Know (0)
remaining cards (0)
To flip the current card, click it or press the Spacebar key.  To move the current card to one of the three colored boxes, click on the box.  You may also press the UP ARROW key to move the card to the "Know" box, the DOWN ARROW key to move the card to the "Don't know" box, or the RIGHT ARROW key to move the card to the Remaining box.  You may also click on the card displayed in any of the three boxes to bring that card back to the center.

Pass complete!

"Know" box contains:
Time elapsed:
restart all cards

Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

  Normal Size     Small Size show me how

Module 8

Compound Inequalities

Solve x-5<7 and 3x+4<8 Solve each side first in which you add 5 on left side and get x<12. Subtract 4 on left side which gives you 4 and then divide by 3. x<3/4 or (12,3/4)
Solve x>5 or x>3 You would put them with negative infinities. Therefore (-infinity,5)U(-infinity,3)
Solve -12>4(x-3)<2 Firts multiply x-3 by 4. -12>4x-12<2 Then you add 12 to both sides of the equation which = 0>4x<14. Divide the 4 from both sides. Answer: (0,7/2)
Solve -6x<-30 and x-10>5 First get both x's alone. Divide by -6 on left side and add 10 on right side. Answer: x<10 and x>15
Solve x+ 3>11 and 4x+5>3 Subtract 3 from 11 on left side, which gives you x>8. On right side subtract 5 from 3 and divide by 4. x> -1/2. Answer: (8,-1/2)
Solve x<2 or x<4 Negative infinity first for both due to infinite many solutions. (-infinity,2)U(-infinity,4)
Solve -2x>20 and x+6>18 On left side you would divide both sides by -2 which gives you x>-10. On right side subtract 6 from both sides and you get x>12. Answer: (-10,12)
Solve 3x+2<11 and x-3<4 Subtract 2 on both sides for the left equation and you get 3x<9 in which you divide both sides by 3 to get x alone, x<3. On right side add 3 to both sides, x<7. Answer: (3,7)
Solve -5x<-15 or 4x-21>-5 On left side divide both sides by -5 in which you get x<3. The answer would then be (3,infinity)
Solve x+4<2 and 2x+2<4 Subtract 4 on left side, x<-2. Subtract the 2 on right side then divide by 2, x<1. Answer: (2,1)
Created by: bryankoz19