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Solve the inequality. −2x+3>x−18 Enter the exact answer in interval notation.

Sagot :

Step 1

Given;

[tex]-2x+3>x-18[/tex]

Required; To solve the inequality

Step 2

Bring like terms together

[tex]-2x-x>-18-3[/tex]

Step 3

Simplify

[tex]-3x>-21[/tex]

Step 4

Multiply both sides by -1

[tex]-3x(-1)<-21(-1)_{}[/tex]

Step 5

Simplify

[tex]3x<21[/tex]

Step 6

Divide by 3 and get the answer

[tex]\begin{gathered} \frac{3x}{3}<\frac{21}{3} \\ x<7 \\ In\text{ in}terval\text{ notation;} \\ (-\infty,7) \end{gathered}[/tex]

Hence, the exact answer in interval notation is;

(-∞,7)

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