Solve the inequality 3x−5>4 and represent the integer solutions on a number line.

Solve: 5−2x≥9.

Solve: 3x​+4≤6.

Solve the inequality 5x+3>2x+12.

Solve: 2x−1≤5x+8.

Represent the solutions of 3−2x<7 on a number line.

Solve: 32x+1​≥x−1.

Find the largest integer value that satisfies the inequality 7x−2<4x+10.

Find the smallest integer value that satisfies the inequality 2(x−3)≥5(x−6).

The sum of three consecutive integers is greater than 75. Find the smallest possible values for these integers.

The perimeter of a rectangle with length (x+5) cm and width 8 cm is at most 46 cm. Form an inequality and find the maximum possible value for x.

Solve: 5≤2x−1<11.

Thrice a number increased by 5 is less than the number increased by 19. Find the range of values for the number.

Solve the inequality 3(4−x)≤2(x+7) and represent the solution on a number line.

A vendor buys x mangoes at Rs. 40 each and y oranges at Rs. 30 each. He has at most Rs. 600 to spend and must buy at least 10 fruits in total. Write down two inequalities and shade the feasible region.