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Solve the compound inequality. Graph the solution and write the solution in interval notation.

15x-5≥-3and-4x-1≥-2

Short Answer

Expert verified

Solution: No Solution

Step by step solution

01

Step 1.Given information

15x-5≥-3and-4x-1≥-2

02

Step 2.Solve Each Inequalities

15x-5≥-315x-5+5≥-3+515x≥215x×5≥2×5x≥10-4(x-1)≥-2-4(x-1)-4≤-2-4(Inequalitychangedduetodivisionwithnegativenumber)x-1≤12x-1+1≤12+1x≤32

03

Step 3.Graph Each Solution and Merge them

Graph for 15x-5≥-3

Graph for-4(x-1)≥-2

There is no common part in the above graph so there is no solution of these compound inequalities.

04

Step 4.Solution and Interval Notation

No solution

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