The solution of the inequality [tex]2x-10<32[/tex] is [tex]x<21[/tex]
All the numbers less than 21 are included on the number line.
Step-by-step explanation:
We need to solve the inequality [tex]2x-10<32[/tex]and represent the solution on number line
Solving the inequality:
[tex]2x-10<32[/tex]
Adding 10 on both sides
[tex]2x-10+10<32+10[/tex]
[tex]2x<42[/tex]
Divide both sides by 2
[tex]2x/2<42/2[/tex]
[tex]x<21[/tex]
So, the solution of the inequality [tex]2x-10<32[/tex] is [tex]x<21[/tex]
All the numbers less than 21 are included on the number line.
The number line is shown in figure attached.
Keywords: Solving inequalities
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