Solving inequalities

Graph the inequality M > This type of inequality is called ‘OPEN’ You can tell an inequality is open by the type of inequality symbol used OPEN symbols are > and < This graph is shaded to the right because of the > symbol used

Graph the inequality y < This type of inequality is called ‘CLOSED’ You can tell an inequality is closed by the type of inequality symbol used CLOSED symbols are > and < This graph is shaded to the left because of the < symbol used

Graph the inequality n > < n You have to make sure you rewrite all inequalities so that the letter comes first When you switch the letter and the number you ALSO have to switch the inequality symbol

Solve the inequality y - 5 < y < 1.5

7(m – 3) > m 5m – 21 > m > 5 55 m > m – 21 7m – 21 > m -2m

-⅔n – 2 > ⅓n + 8 +⅔n -10 > 1n n < -10 – 2 > 1n

Graph the inequality M > 4 This type of inequality is called ‘____________’ You can tell an inequality is ___________ by the type of inequality ___________ used __________ symbols are > and < This graph is shaded to the ___________ because of the > symbol used

Graph the inequality y < -8 This type of inequality is called ‘____________’ You can tell an inequality is __________ by the type of inequality ________________ used _____________ symbols are > and < This graph is shaded to the _________ because of the < symbol used

Graph the inequality -10 < n You have to make sure you ______________ all inequalities so that the __________ comes first When you ____________ the letter and the number you ALSO have to _______________ the inequality symbol

Solve the inequality y - 5 < -3.5 y <

7(m – 3) > m > m > >

-⅔n – 2 > ⅓n + 8 > n n < >