Solve the inequality 6 leq -3(2x - 4)

Question

(A) Given inequality: $6 \leq -3(2x - 4) < 12$Divide the entire inequality by $-3$. Remember that dividing by a negative number reverses the inequalit

Vedclass · Accepted Answer

$(0, 1]$

Vedclass · Answer

(A) Given inequality: $6 \leq -3(2x - 4) Divide the entire inequality by $-3$. Remember that dividing by a negative number reverses the inequality signs:$-2 \geq 2x - 4 > -4$Add $4$ to all parts of the inequality:$-2 + 4 \geq 2x > -4 + 4$$2 \geq 2x > 0$Divide by $2$:$1 \geq x > 0$Thus,the solution set is $(0, 1]$.

Solve the inequality $6 \leq -3(2x - 4) < 12$.

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