Exercise 59 Page 199

Inequalities can be solved in the same way as equations, which is by performing inverse operations on both sides until the variable is isolated. The only difference is that when you divide or multiply by a negative number, you must reverse the inequality sign.

2(t+2)-3t≥- 1

Distr

Distribute 2

2t+4-3t≥- 1

SubTerm

Subtract term

- t+4≥- 1

SubIneq

LHS-4≥RHS-4

- t≥- 5

DivNegIneq

Divide by - 1 and flip inequality sign

t≤ 5

The above tells us that all values less than or equal to 5 will satisfy the inequality.