Step 1a

To solve this inequality, we’ll isolate the variable x

3x + 5 > 10

Subtract 5 from both sides:

3x + 5 - 5 > 10 - 5

3x > 5

Move the x coefficient to the right side:

\$x > 5/3 \$.

Explanation: Separated the x term, subtracted 5, simplified to 3x > 5, then moved the x coefficient, resulting in \$x > 5/3\$.

Step 2a

To solve the inequality, let’s simplify the expression first:

\$ 5x - 9y le 8x + 3y - 4 \$

Explanation: Here, simplify the equation.

Step 2b

To isolate the variables on one side, then move the y terms

to the left side and the x terms to the right side:

\$5x - 8x ≤ 3y + 9y - 4\$

Combine like terms

\$-3x ≤ 12y - 4 \$

Explanation: Split variables on each side, then group like terms together for simplification.

Step 2c

Now, let’s isolate the y terms by moving the x terms to the right side:

\$-3x + 4 ≤ 12y\$

Divide both sides of the inequality by 12:

\$ (-3/12)x + 4/12 ≤ y \$

Simplify:

\$ (-1/4)x + 1/3 ≤ y \$

Explanation: Isolate y, simplify, then divide by 12 to yield \$ (-1/4)x + 1/3 ≤ y \$.