Question

solve the inequality and enter your solution as an inequality in the box below, using  '' < = '' ″ < = ″ for  ≤ or  '' > = ″ > = ″ for ≥ if necessary -5 ( 4 x + 7 ) ≤ 2 5

Answer 1

`-5(4x+7)\leq25\qquad|\text{use distributive property}\\\\(-5)(4x)+(-5)(7)\leq25\\\\-20x-35\leq25\qquad|\text{add 35 to both sides}\\\\-20x\leq60\qquad|\text{change the signs}\\\\20x\geq-60\qquad|\text{divide both sides by 20}\\\\\boxed{x\geq-3}`

Answer: x >= -3