Question

Solve for x. -2x+5≤10

Answer 1

x≥-2.5

Step-by-step explanation:

Given the inequality:

`-2x+5\le10`

Step 1: Subtract 5 from both sides of the inequality

`\begin{gathered} -2x+5-5\le10-5 \\ -2x\le5 \end{gathered}`

Step 2: Divide both sides by -2.

Note: Since we divide by a negative number, the inequality sign is reversed.

`\begin{gathered} -(2x)/(-2)\ge(5)/(-2) \\ x\ge-(5)/(2) \\ x\ge-2.5 \end{gathered}`

The solution to the inequality is x≥-2.5.