Nora solved an inequality and graphed the solution on the number line. Which of the following inequalities did she solve?
(1 point)8x>14
8 x greater than 14
1.75x<3.5
1.75 x less than 3.5
6x<10.5
6 x less than 10.5
4x>7
4 x greater than 7
Solve the inequality 2/3x≤5
To solve the inequality 2/3x ≤ 5, we will multiply both sides of the inequality by 3 to eliminate the fraction:
(2/3)x * 3 ≤ 5 * 3
2x ≤ 15
Now, we can divide both sides of the inequality by 2 to solve for x:
2x/2 ≤ 15/2
x ≤ 7.5
Therefore, the solution to the inequality is x ≤ 7.5.
Solve the inequality 4x>10
To solve the inequality 4x > 10, we divide both sides of the inequality by 4:
(4x)/4 > 10/4
x > 2.5
Therefore, the solution to the inequality is x > 2.5.