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Solve for x. -2x+5≤10

Sagot :

Answer:

x≥-2.5

Explanation:

Given the inequality:

[tex]-2x+5\le10[/tex]

Step 1: Subtract 5 from both sides of the inequality

[tex]\begin{gathered} -2x+5-5\le10-5 \\ -2x\le5 \end{gathered}[/tex]

Step 2: Divide both sides by -2.

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

[tex]\begin{gathered} -\frac{2x}{-2}\ge\frac{5}{-2} \\ x\ge-\frac{5}{2} \\ x\ge-2.5 \end{gathered}[/tex]

The solution to the inequality is x≥-2.5.