On the set of axes, solve the following system of inequalities graphically.
Label the solution set S.
2x + 3y < -3
y - 4x ≥ 2

Question

NathalieSpohr NathalieSpohr

10-06-2015
Mathematics

Answered

On the set of axes, solve the following system of inequalities graphically.
Label the solution set S.
2x + 3y < -3
y - 4x ≥ 2

Answer :

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Panoyin Panoyin · Answer 1 · 2015-06-10T18:56:19-04:00

2x + 3y < -3 ⇒   2x + 3y = -3 ⇒ 2x + 3y = -3
-4x +   y ≥ 2 ⇒ -4x + y = 2 ⇒ -12x + 3y = 6
      -14x = -9
   -14    -14
   x = ⁹/₁₄
   2x + 3y = -3
      2(⁹/₁₄) + 3y = -3
   1²/₇ + 3y = -3
   - 1²/₇     - 1²/₇
   3y = -4²/₇
3 3
   y = -1³/₇
   The solution set is {(⁹/₁₄, -1³/₇)}.

On the set of axes, solve the following system of inequalities graphically. Label the solution set S. 2x + 3y < -3 y - 4x ≥ 2

Answer :

Other Questions

On the set of axes, solve the following system of inequalities graphically.
Label the solution set S.
2x + 3y < -3
y - 4x ≥ 2