A meeting scheduled for Wednesday morning between Motshekga and the unions was cancelled.
Motshekga is yet to make her announcement on the matter.
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However, in a statement on Tuesday evening, the Council of Education Ministers (CEM) said groups and individuals, who were not empowered by law, do not have the authority to close schools.
"The CEM has resolved to take legal action against all individuals and groups that continue to disrupt schooling," the statement read.
"We would like to emphasise the fact that the reopening and closure of schools is a legislative responsibility accorded to national and provincial authorities only."The CEM has further noted the resolution by the South African Democratic Teachers Union, in which they call for the closure of schools. The decision on whether schools will be closed or not will be taken by Cabinet."