Represent solution set of each of the following inequations graphically in two dimensional plane:

Question 1:

Answer:

To draw the equation, we calculate the intercepts:

axis intercept | ||

axis intercept |

To find out which side of the line the solution lies. We do a test of inequality.

If we substitute in the equation we see that which is true.

Hence, lies in the region that satisfies the inequation.

Question 2:

Answer:

To draw the equation, we calculate the intercepts:

axis intercept | ||

axis intercept |

To find out which side of the line the solution lies. We do a test of inequality.

If we substitute in the equation we see that which is not true.

Hence, does not lies in the region that satisfies the inequation. Hence the solution is on the other side of the line.

Question 3:

Answer:

Question 4:

Answer:

To draw the equation, we calculate the intercepts:

axis intercept | ||

axis intercept |

To find out which side of the line the solution lies. We do a test of inequality.

If we substitute in the equation we see that which is true.

Hence, lies in the region that satisfies the inequation. Hence the solution is on this side of the line.

Question 5:

Answer:

To draw the equation, we calculate the intercepts:

axis intercept | ||

axis intercept |

To find out which side of the line the solution lies. We do a test of inequality.

If we substitute in the equation we see that which is true.

Hence, lies in the region that satisfies the inequation.

Question 6:

Answer:

To draw the equation, we calculate the intercepts:

axis intercept | ||

axis intercept |

To find out which side of the line the solution lies. We do a test of inequality.

If we substitute in the equation we see that which is true.

Hence, lies in the region that satisfies the inequation.

Question 7:

Answer:

To draw the equation, we calculate the intercepts:

axis intercept | ||

axis intercept |

To find out which side of the line the solution lies. We do a test of inequality.

If we substitute in the equation we see that which is true.

Hence, lies in the region that satisfies the inequation.

Question 8:

Answer:

To draw the equation, we calculate the intercepts:

axis intercept | ||

axis intercept |

To find out which side of the line the solution lies. We do a test of inequality.

If we substitute in the equation we see that which is not true.

Hence, does not lies in the region that satisfies the inequation. Hence the solution is on the other side of the line.

Question 9:

Answer:

To draw the equation, we calculate the intercepts:

axis intercept | ||

axis intercept |

To find out which side of the line the solution lies. We do a test of inequality.

If we substitute in the equation we see that which is true.

Hence, lies in the region that satisfies the inequation.

Question 10:

Answer:

To draw the equation, we calculate the intercepts:

axis intercept | ||

axis intercept |

To find out which side of the line the solution lies. We do a test of inequality.

If we substitute in the equation we see that which is not true.

Hence, does not lies in the region that satisfies the inequation. Hence the solution is on the other side of the line.