Linear Equations

Things you should know:

• When you divide or multiply by a negative number, you must reverse the sign.
• > means greater than
• < means less than
• ≤ means less than or equal to
• ≥ means greater than or equal to

Example 1 9x+16<48

• To solve this problem, you must get x by itself.
• First you will have to subtract 16.
• That leaves you with 9x<32.
• Now you have to divide by 9.
• That leaves you with x<32/9.
• You answer is x<32/9.

Example 2 -4x+12>50

• Again you have to solve for x.
• First you have to subtract 12
• That leaves you with -4x>38
• Divide by -4
• That leaves you with x<-19/12.
• Since it was a negative number that you were dividing by, you have to change the sign.
• Final answer: x<-19/12

Amber :)