Solving inequalities

Graph the inequality

M > 443 5

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

Graph the inequality

y < -8-8-9 -7

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

Graph the inequality

n > -10 -10-11 -9

-10 < 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 < -3.5

1.51 2+5 +5

y < 1.5

7(m – 3) > -16 + 2m

5m – 21 > -16 +21 +21

5m > 55 5

m > 1

10 2

7m – 217m – 21 > -16 + 2m-2m-2m

-⅔n – 2 > ⅓n + 8+⅔n +⅔n

-10 > 1n

-10-11 -9

n < -10

– 2 > 1n + 8- 8- 8