Question

vood BOO vbschools.schoology.com K_lic_dC13aWxsaWFtcy0xODkw_k_sch_bmV3aWxsaWFAdr Student Wee Date Name Algebral 2_1CW Solving Inequalities Solve each inequality. Graph your solution set. 1) 2x - 12 > 8 X> 10 2) 22 > 3m - 8 m < 10 3) – 3d +6 > 30 d

Answer 1

part 1)

we have

$\begin{gathered} 2x-12\ge8 \\ 2x\ge8+12 \\ 2x\ge20 \\ x\ge10 \end{gathered}$

In a number line the solution is the shaded area at right of x=10 (close circle)

the solution is the interval {10, infinite)

Part 2) we have

m <10

In a number line the solution is the shaded area at left of m=10 (open circle)

tyhe solution is the interval (-infinite, 10)