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Solving equations and inequalities

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Please see attached for formatting.

1. 3y - 9 =3x
2. Translate to an inequality, use the variable x. The amount of acid is not to exceed 400 liters.
3. Skip
4. Skip
5. -16x > -80
6. 5x + 2 - 4x < 11 the solution set is {x l x < }
7. 5y - 10 < 4y - 7 the solution set is {y l y < }
8. Find the slope if it exists, y = -9x + 2
9. Find the slope if it exists, x + 7y = 14
10. Determine whether -4 is a solution of the inequality, x > -4
11. Solve using the multiplication principle, -2x < -6 {x l x }
12. Solve using the addition and multiplication principles, 5 - 5y - 8y > 83
{y l y > }
13. Find the slope if it exist on the line, 8y

8y

( -3, 4)

8x
-8 (1, -5)

15. -5 + 5y = 10 use the intercepts to graph the equation
16. x + 6 > 3
17. Skip
18. Graph the line containing the given pair of points and find the slope (-5, 3) ( 0, -1)
19. Skip
20. Graph the equation and identify the y-intercept y = x the y intercept is? Type an ordered pair.
21. Graph the equation and identify the y-intercept y = x + 8 the y intercept is? Type an ordered pair.
22. Graph the equation and identify the y-intercept y = x + 2 the y intercept is? Type an ordered pair.

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Solution Summary

This solution includes detailed solutions to several problems on solving/graphing inequalities, finding slope and y-intercept.

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  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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