Hessa solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?
(1 point)
1/5x-3/5<2/5
3/5x+2/5>3 2/5
2/5x-4/5>1 1/5
3/7x+1/7<1 6/7
3 answers
The inequality that Hessa solved is 2/5x - 4/5 > 1 1/5.
Solve the inequality 9.5x - 1.25 < 32.
To solve the inequality 9.5x - 1.25 < 32, we can start by isolating the variable x.
Adding 1.25 to both sides of the inequality, we get:
9.5x - 1.25 + 1.25 < 32 + 1.25
9.5x < 33.25
Next, to solve for x, we divide both sides of the inequality by 9.5:
(9.5x)/9.5 < 33.25/9.5
x < 3.5
So the solution to the inequality is x < 3.5.
Adding 1.25 to both sides of the inequality, we get:
9.5x - 1.25 + 1.25 < 32 + 1.25
9.5x < 33.25
Next, to solve for x, we divide both sides of the inequality by 9.5:
(9.5x)/9.5 < 33.25/9.5
x < 3.5
So the solution to the inequality is x < 3.5.