InequalitiesInequalities

2 < 5 TRUE

What if I add/subtract a number to both sides?

+3 +3TRUE5 < 8

-12 -12

-7 < -4 TRUE

Does adding or subtracting change theInequality?

InequalitiesInequalities

So if we have

x + 4 < 10we can solve by subtracting 4 from each side and the inequality doesn’t change.

-4 -4

x < 6

InequalitiesInequalities

2 < 5 TRUE

What if I multiply/divide a positive number to both sides?

*10 *10TRUE20 < 50

10 < 25 TRUE

Does multiplying/dividing by a positive number change the inequality?

2 2

InequalitiesInequalities

2 < 5 TRUE

What if I multiply/divide a negative number to both sides?

*-10 *-10FALSE-20 < -50

What do we have to do with the inequality sign if we multiply by a negative number?

-20 > -50

InequalitiesInequalitiesWhat if I multiply/divide a positive number to both sides?

TRUE20 < 50

-10 < -25 FALSE

Does dividing by a negative number change the inequality?

-2 -2

InequalitiesInequalitiesWhat if I multiply/divide a positive number to both sides?

TRUE20 < 50-2 -2

-10 < -25 FALSE

What do we have to do with the inequality sign if we divide by a negative number?

-10 > -25

Solve the inequalitySolve the inequality

-7x + 8 < 22

Solve the inequality & graphSolve the inequality & graph

-4(3 +x) < 2x +10