Concept:Solving a linear inequality in one variable.Explanation:Multiply both sides by 4 to remove the fraction.4×41(x+3)≤4(2x−1)x+3≤8x−4Collect like terms: x−8x≤−4−3−7x≤−7Divide both sides by −7. Since we divide by a negative number, the inequality sign reverses.x≥1Answer:The truth set is {x:x≥1}, which is Option C.