No.142 Inequalities with Parentheses
POINT
First use the distributive property to remove the parentheses, then solve the inequality.
Example
Solve the following inequalities.
1
\(3(x-2)>x+4\)
\(x>5\)
2
\(2(3x+1)\leq8x+10\)
\(x\geq-4\)
TRY
Solve the following inequalities.
TRY 1
\(2(x+3)<14\)
\(x<4\)
TRY 2
\(3(x-1)\geq9\)
\(x\geq4\)
TRY 3
\(4(x+2)>2x+10\)
\(x>1\)
TRY 4
\(2(2x-3)<x+6\)
\(x<4\)
TRY 5
\(5(x-2)\leq3x+6\)
\(x\leq8\)
TRY 6
\(3(1-x)\geq x-5\)
\(x\leq2\)